These functions require a technique called logarithmic differentiation, which allows us to differentiate any function of the form \(h(x)=g(x)^{f(x)}\). It can also be used to convert a very complex differentiation problem into a simpler one, such as finding the derivative of \(y=\frac{x\sqrt{2x+1}}{e^x\sin ^3x}\). We outline this technique in ...The Derivative tells us the slope of a function at any point.. There are rules we can follow to find many derivatives.. For example: The slope of a constant value (like 3) is always 0; The slope of a line like 2x is 2, or 3x is 3 etc; and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below).Note: the little mark ’ …An online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation. A useful mathematical differentiation calculator to simplify the functions. Rules for Specifying Input Function. 1. Use ^ for representing power values. Eg: Write input x 2 as x^2. 2.Therefore, when talking about the derivative of the softmax function, we actually talk about its Jacobian matrix, which is the matrix of all first-order partial derivatives: ... In order to kick off the backpropagation process, as described in this post, we have to calculate the derivative of the loss w.r.t to weighted input 𝑧 of the output ...Free Derivative Chain Rule Calculator - Solve derivatives using the charin rule method step-by-step.First, set the differentiation equation. y= x 2 +7x+5. Dy/Dx = 2x+7. Then, use the differentiation result as a reference formula. We have taken several x-values and their corresponding y-values. As we have the differential formula for our equation, we can find differentiation at every x-value.dxd (6x2) dad (6a(a−2)) Learn about derivatives using our free math solver with step-by-step solutions.Your net worth is about more than just money in your bank account, but calculating it is as easy as one, two, three — almost. Daye Deura Net worth can be a confusing concept to wra...Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ...Use the product rule and/or chain rule if necessary. For example, the first partial derivative Fx of the function f (x,y) = 3x^2*y - 2xy is 6xy - 2y. Calculate the derivative of the function with respect to y by determining d/dy (Fx), treating x as if it were a constant. In the above example, the partial derivative Fxy of 6xy - 2y is equal to ...Input recognizes various synonyms for functions like asin, arsin, arcsin, sin^-1. Multiplication sign and brackets are additionally placed - entry 2sinx is similar to 2*sin (x) Step-by-step derivative calculator online. Complex function rule, addition, multiplication, division and modulus. With explanations!The term “differential pressure” refers to fluid force per unit, measured in pounds per square inch (PSI) or a similar unit subtracted from a higher level of force per unit. This c...Limits and derivatives are extremely crucial concepts in Maths whose application is not only limited to Maths but are also present in other subjects like physics. In this article, the complete concepts of limits and derivatives along with their properties, and formulas are discussed. This concept is widely explained in the class 11 syllabus.For the partial derivative with respect to h we hold r constant: f’ h = π r 2 (1)= π r 2. (π and r2 are constants, and the derivative of h with respect to h is 1) It says "as only the height changes (by the tiniest amount), the volume changes by π r 2 ". It is like we add the thinnest disk on top with a circle's area of π r 2. If you’re in the market for a new differential for your vehicle, you may be considering your options. One option that is gaining popularity among car enthusiasts and mechanics alik...Types of brake fluid are differentiated based on their boiling capacity. Learn about the different types of brake fluid and how you should handle them. Advertisement The three mai...Derivative calculator is used to find the derivative of a given function with respect to the independent variable. This differentiation calculator can perform explicit differentiation with just one click. Derivative – Definition. Let f(x) be a function whose domain contains an open interval at some point x 0.The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find ... To calculate the derivative using implicit differentiation calculator you must follow these steps: Enter the implicit function in the calculator, for this you have two fields separated by the equals sign. The functions must be expressed using the variables x and y. Select dy/dx or dx/dy depending on the derivative you need to calculate.The main symptom of a bad differential is noise. The differential may make noises, such as whining, howling, clunking and bearing noises. Vibration and oil leaking from the rear di...This calculus 1 video tutorial provides a basic introduction into derivatives. Full 1 Hour 35 Minute Video: https://www.patreon.com/MathScienceTutor...The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ...Assuming "differentiation" refers to a computation | Use as a general topic or referring to a mathematical definition or a word instead Computational Inputs: » function to differentiate: It is a function that returns the derivative (as a Sympy expression). To evaluate it, you can use .subs to plug values into this expression: >>> fprime(x, y).evalf(subs={x: 1, y: 1}) 3.00000000000000 If you want fprime to actually be the derivative, you should assign the derivative expression directly to fprime, rather than wrapping it in …Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Calculate equations, inequatlities, line equation and system of equations step-by-step. algebra-calculator. differentiate. en. Related Symbolab blog posts. High School Math Solutions – Systems of Equations Calculator, Elimination. A system of equations is a collection of two or more equations with the same set of variables. In this blog post,...Nov 16, 2022 · In implicit differentiation this means that every time we are differentiating a term with y y in it the inside function is the y y and we will need to add a y′ y ′ onto the term since that will be the derivative of the inside function. Let’s see a couple of examples. Example 5 Find y′ y ′ for each of the following. Suppose we wanted to differentiate x + 3 x 4 but couldn't remember the order of the terms in the quotient rule. We could first separate the numerator and denominator into separate factors, then rewrite the denominator using a negative exponent so we would have no quotients. x + 3 x 4 = x + 3 ⋅ 1 x 4 = x + 3 ⋅ x − 4. Derivative calculator (A.K.A differentiation calculator) is used to determine the rate of change of the given function with respect to its independent variable. The function can be constant, linear, polynomial, quadric polynomial, etc. The differential calculator will recognize the function and calculate its derivative. The formula used is as follows: f ′ ( x) = lim x → 0 f ( x + δ x) − f ( x) δ x. For the fourth order derivative: f ⁗ ( x) = d 4 y d x 4. The derivative of a function helps determine the slope of a curved line, which represents the rate of change within the function. Our advanced math calculator utilizes the above formula to provide ...If you are in need of differential repair, you may be wondering how long the process will take. The answer can vary depending on several factors, including the severity of the dama...Types of brake fluid are differentiated based on their boiling capacity. Learn about the different types of brake fluid and how you should handle them. Advertisement The three mai...Before accumulating unsustainable debt, it’s important to use a Mortgage Calculator like the one below to help you determine your monthly mortgage payment and the time it would tak...Derivatives of unspecified order can be created using tuple (x, n) where n is the order of the derivative with respect to x. >>> m, n, a, b = symbols ... But what if we want to have an expression to estimate a derivative of a curve for which we lack a closed form representation, or for which we don’t know the functional values for yet. ...Learning Objectives. 3.4.1 Determine a new value of a quantity from the old value and the amount of change.; 3.4.2 Calculate the average rate of change and explain how it differs from the instantaneous rate of change.; 3.4.3 Apply rates of change to displacement, velocity, and acceleration of an object moving along a straight line.; 3.4.4 Predict the …The formula used is as follows: f ′ ( x) = lim x → 0 f ( x + δ x) − f ( x) δ x. For the fourth order derivative: f ⁗ ( x) = d 4 y d x 4. The derivative of a function helps determine the slope of a curved line, which represents the rate of change within the function. Our advanced math calculator utilizes the above formula to provide ...Is It a good idea to refinance your mortgage? Use our mortgage refinance calculator to determine how much you could save today. Is It a good idea to refinance your mortgage? Use ou...Times the derivative of sine of x with respect to x, well, that's more straightforward, a little bit more intuitive. The derivative of sine of x with respect to x, we've seen multiple times, is cosine of …For your demand equation, this equals –4,000. Determine P 0 divided by Q 0. Because P is $1.50, and Q is 2,000, P 0 /Q 0 equals 0.00075. Multiply the partial derivative, –4,000, by P 0 /Q 0, 0.00075. The point price elasticity of demand equals –3. Therefore, at this point on the demand curve, a 1 percent change in price causes a 3 …The dy/dx calculator with steps follows the following steps to work accurately and efficiently. The implicit solution calculator calculates the function in a fraction of a second. Enter the function in the form of f (x) = a. Select the variable w.r.t to which you want to differentiate the function. Now, just press the "CALCULATE" button the ...Differentiation and Integration are branches of calculus where we determine the derivative and integral of a function. Differentiation is the process of finding the ratio of a small change in one quantity with a small change in another which is dependent on the first quantity. On the other hand, the process of finding the area under a curve of a function is …Numerical Differentiation — Python Numerical Methods. This notebook contains an excerpt from the Python Programming and Numerical Methods - A Guide for Engineers and Scientists, the content is also available at Berkeley Python Numerical Methods. The copyright of the book belongs to Elsevier. We also have this interactive book online for a ...Vitamins can be a mysterious entity you put into your body on a daily basis that rarely has any noticeable effects. It's hard to gauge for yourself if it's worth the price and effo...Basic Differentiation Rules ... Why does it work? A hybrid chain rule. Implicit Differentiation. Introduction · Examples · Derivatives of Inverse Trigs via ...The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ...These functions require a technique called logarithmic differentiation, which allows us to differentiate any function of the form \(h(x)=g(x)^{f(x)}\). It can also be used to convert a very complex differentiation problem into a simpler one, such as finding the derivative of \(y=\frac{x\sqrt{2x+1}}{e^x\sin ^3x}\). We outline this technique in ...Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. When it comes to vehicle maintenance, the differential is a crucial component that plays a significant role in the overall performance and functionality of your vehicle. If you are...First, set the differentiation equation. y= x 2 +7x+5. Dy/Dx = 2x+7. Then, use the differentiation result as a reference formula. We have taken several x-values and their corresponding y-values. As we have the differential formula for our equation, we can find differentiation at every x-value.Faults - Faults are breaks in the earth's crust where blocks of rocks move against each other. Learn more about faults and the role of faults in earthquakes. Advertisement There a...use numpy.gradient(). Please be aware that there are more advanced way to calculate the numerical derivative than simply using diff.I would suggest to use numpy.gradient, like in this example.. import numpy as np from matplotlib import pyplot as plt # we sample a sin(x) function dx = np.pi/10 x = np.arange(0,2*np.pi,np.pi/10) # we …A short cut for implicit differentiation is using the partial derivative (∂/∂x). When you use the partial derivative, you treat all the variables, except the one you are differentiating with respect to, like a constant. For example ∂/∂x [2xy + y^2] = 2y. In this case, y is treated as a constant. Here is another example: ∂/∂y [2xy ... Calculate derivatives online. Support. Donate Amazon. Please support me if you like this page. Donate via PayPal to remove the ads. * If you buy something using my Amazon link, as ... Calculate the Derivative of …. Support. Result. How the Derivative Calculator Works. These functions require a technique called logarithmic differentiation, which allows us to differentiate any function of the form \(h(x)=g(x)^{f(x)}\). It can also be used to convert a very complex differentiation problem into a simpler one, such as finding the derivative of \(y=\frac{x\sqrt{2x+1}}{e^x\sin ^3x}\). We outline this technique in ...Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Faults - Faults are breaks in the earth's crust where blocks of rocks move against each other. Learn more about faults and the role of faults in earthquakes. Advertisement There a...Calculate equations, inequatlities, line equation and system of equations step-by-step. algebra-calculator. differentiate. en. Related Symbolab blog posts. High School Math Solutions – Systems of Equations Calculator, Elimination. A system of equations is a collection of two or more equations with the same set of variables. In this blog post,...Traditionally, companies have relied upon data masking, sometimes called de-identification, to protect data privacy. The basic idea is to remove all personally identifiable informa...The Fundamental Theorem of Calculus tells us that the derivative of the definite integral from 𝘢 to 𝘹 of ƒ (𝑡)𝘥𝑡 is ƒ (𝘹), provided that ƒ is continuous. See how this can be used to evaluate the derivative of accumulation functions. Created by Sal Khan.Steps for computing a differential. Step 1: Identify the function f (x) and the point x0 at which you want to compute the differential. Step 2: Compute the derivative f' (x) and evaluate it at x0, so you get f' (x0). Simplify it, if needed. Step 3: Use the formula. d y = f ′ ( x 0) d x. \displaystyle dy = f' (x_0) dx dy = f ′(x0. A complete blood count, or CBC, with differential blood test reveals information about the number of white blood cells, platelets and red blood cells, including hemoglobin and hema...How to Use the Differential Equation Calculator? Input. Enter the differential equation in the provided input box. If necessary, enter the initial conditions. Calculation. With all the information entered, click the "Calculate" button to initiate the calculation process. Result. In moments, the calculator will display the solution.Function derivative # Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative. This uses rules of differentiation which can be found here: Differentiation rules (Wikipedia)For higher-order derivatives, certain rules, like the general Leibniz product rule, can speed up calculations. Free Online Derivative Calculator allows you to solve first order and higher order derivatives, providing information you need to understand derivative concepts. Free Derivative Chain Rule Calculator - Solve derivatives using the charin rule method step-by-step.Difference Formulas. There are 3 main difference formulas for numerically approximating derivatives. The forward difference formula with step size h is. f ′ ( a) ≈ f ( a + h) − f ( a) h. The backward difference formula with step size h is. f ′ ( a) ≈ f ( a) − f ( a − h) h.Nov 16, 2022 · Note that if we are just given f (x) f ( x) then the differentials are df d f and dx d x and we compute them in the same manner. df = f ′(x)dx d f = f ′ ( x) d x. Let’s compute a couple of differentials. Example 1 Compute the differential for each of the following. y = t3 −4t2 +7t y = t 3 − 4 t 2 + 7 t. We cover the standard derivatives formulas including the product rule, quotient rule and chain rule as well as derivatives of polynomials, roots, trig functions, inverse trig functions, hyperbolic functions, exponential functions and logarithm functions. We also cover implicit differentiation, related rates, higher order derivatives and ...If you’re in the market for a new differential for your vehicle, you may be considering your options. One option that is gaining popularity among car enthusiasts and mechanics alik...To determine the default variable that MATLAB differentiates with respect to, use symvar: symvar (f,1) ans = t. Calculate the second derivative of f with respect to t: diff (f,t,2) This command returns. ans = -s^2*sin (s*t) Note that diff (f,2) returns the same answer because t is the default variable. In this method, if z = f (x, y) is the function, then we can compute the partial derivatives using the following steps: Step 1: Identify the variable with respect to which we have to find the partial derivative. Step 2: Except for the variable found in Step 1, treat all the other variables as constants.How to Find the Derivative of arcsin? To derive the derivative of arcsin, assume that y = arcsin x then sin y = x. Differentiating both sides with respect to y, then cos y = dx/dy. Taking reciprocals, dy/dx = 1/(cos y) = 1/√ 1 - sin²y = 1/√ 1-x². What is the Derivative of arcsin √x? We know that the derivative of arcsin x to be 1/√ 1 ...a calculus result. or. a general topic. or. referring to a mathematical definition. or. a word. or. referring to a course app.About this unit. The derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point. See how we define the derivative using limits, and learn to find derivatives quickly with the very useful power, product, and quotient rules. want to calculate. ∂f. ∂t . Method 1: Substitute the expressions for x, y and z into f. This gives. F(s, t) = s2t2 + st3. (12). Diffirentiating 12 with ...The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ...A Differentiation formulas list has been provided here for students so that they can refer to these to solve problems based on differential equations. This is one of the most important topics in higher-class Mathematics. The general representation of the derivative is d/dx.. This formula list includes derivatives for constant, trigonometric functions, polynomials, …Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... Logarithmic differentiation is a method used in calculus to differentiate a function by taking the natural logarithm of both sides of an expression of the form y=f (x) y = f (x). Logarithmic properties convert multiplication to addition, division to subtraction, and exponent to multiplication. This transformation often results in expressions ...
Derivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as …. Fruity loops free download
Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ... If you are in need of differential repair, you may be wondering how long the process will take. The answer can vary depending on several factors, including the severity of the dama...Differential Equations Calculator. Get detailed solutions to your math problems with our Differential Equations step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here. dy dx = sin ( 5x) In Introduction to Derivatives (please read it first!) we looked at how to do a derivative using differences and limits.. Here we look at doing the same thing but using the "dy/dx" notation (also called Leibniz's notation) instead of limits.. We start by calling the function "y": y = f(x) 1. Add Δx. When x increases by Δx, then y increases by Δy :If you’re experiencing issues with your vehicle’s differential, you may be searching for “differential repair near me” to find a qualified mechanic. However, before you entrust you...Try MathPapa Algebra Calculator. Shows how to do derivatives with step-by-step solutions! This calculator will solve your problems.Use this calculator to calculate your startup costs so you know how much money you need to start a small business. Includes examples of start up expenses. Business startup costs ar...Excel Derivative Formula using the Finite Difference Method. The method used to perform this calculation in Excel is the finite difference method. To use the finite difference method in Excel, we calculate the change in “y” between two data points and divide by the change in “x” between those same data points: This is called a one-sided ... First, you should know the derivatives for the basic logarithmic functions: d d x ln ( x) = 1 x. d d x log b ( x) = 1 ln ( b) ⋅ x. Notice that ln ( x) = log e ( x) is a specific case of the general form log b ( x) where b = e . Since ln ( e) = 1 we obtain the same result. You can actually use the derivative of ln ( x) (along with the constant ...Calculate equations, inequatlities, line equation and system of equations step-by-step. algebra-calculator. differentiate. en. Related Symbolab blog posts. High School Math Solutions – Systems of Equations Calculator, Elimination. A system of equations is a collection of two or more equations with the same set of variables. In this blog post,...An ordinary differential equation (ODE) is a mathematical equation involving a single independent variable and one or more derivatives, while a partial differential equation (PDE) involves multiple independent variables and partial derivatives. ODEs describe the evolution of a system over time, while PDEs describe the evolution of a system over ... Logarithmic Differentiation Calculator. Get detailed solutions to your math problems with our Logarithmic Differentiation step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here. Go! dxd (2) dxd (6x2) dad (6a(a−2)) Learn about derivatives using our free math solver with step-by-step solutions.The AMHR2 gene provides instructions for making the anti-Müllerian hormone (AMH) receptor type 2, which is involved in male sex differentiation. Learn about this gene and related h...Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. ... Limits Calculator, L’Hopital’s Rule. In the previous posts, we have talked about different ways to find the limit of a function ...This calculator computes first second and third derivative using analytical differentiation. You can also evaluate derivative at a given point. It uses product quotient and chain rule to find derivative of any function. The calculator tries to simplify result as much as possible.The derivative is the sensitivity rate at which the function shows a remarkable change in the output when a certain change is introduced in the input. Differentiation Rules: To calculate the derivative of any function, our derivative calculator with steps applies certain rules which include the following. Power Rule: $$ \frac {d} {dx} x^n = nx ....
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Number 2 | Derivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as …Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graphDerivatives of sin (x), cos (x), tan (x), eˣ & ln (x) Derivative of logₐx (for any positive base a≠1) Worked example: Derivative of log₄ (x²+x) using the chain rule. Differentiating logarithmic functions using log properties....
Femboy comic | dxd (2) dxd (6x2) dad (6a(a−2)) Learn about derivatives using our free math solver with step-by-step solutions.Numerical Integration and Differentiation. Quadratures, double and triple integrals, and multidimensional derivatives. Numerical integration functions can approximate the value of an integral whether or not the functional expression is known: When you know how to evaluate the function, you can use integral to calculate integrals with specified ...Calculate limits, integrals, derivatives and series step-by-step. Frequently Asked Questions (FAQ) What is calculus? Calculus is a branch of mathematics that deals with the study of change and motion. It is concerned with the rates of changes in different quantities, as well as with the accumulation of these quantities over time....
Download twitter picture | For higher-order derivatives, certain rules, like the general Leibniz product rule, can speed up calculations. Free Online Derivative Calculator allows you to solve first order and higher order derivatives, providing information you need to understand derivative concepts. Derivative Calculator Use our simple online Derivative Calculator to find derivatives with step-by-step explanation. You can calculate partial, second, third, fourth derivatives as well as antiderivatives with ease and for free. Building graphs and using Quotient, Chain or Product rules are available. Calculate Derivative...
Food in the midwest | In other words, the most general form of the antiderivative of f over I is F(x) + C. We use this fact and our knowledge of derivatives to find all the antiderivatives for several functions. Example 4.9.1: Finding Antiderivatives. For each of the following functions, find all antiderivatives. f(x) = 3x2. f ( x) = 3 x 2.Derivative calculator is used to find the derivative of a given function with respect to the independent variable. This differentiation calculator can perform explicit differentiation with just one click. Derivative – Definition. Let f(x) be a function whose domain contains an open interval at some point x 0....
Genshin impact wriothesley | Derivatives of sin (x), cos (x), tan (x), eˣ & ln (x) Derivative of logₐx (for any positive base a≠1) Worked example: Derivative of log₄ (x²+x) using the chain rule. Differentiating logarithmic functions using log properties.Traditionally, companies have relied upon data masking, sometimes called de-identification, to protect data privacy. The basic idea is to remove all personally identifiable informa......
How to set a mouse trap | Differentiation of a function is finding the rate of change of the function with respect to another quantity. f. ′. (x) = lim Δx→0 f (x+Δx)−f (x) Δx f ′ ( x) = lim Δ x → 0. . f ( x + Δ x) − f ( x) Δ x, where Δx is the incremental change in …So what does ddx x 2 = 2x mean?. It means that, for the function x 2, the slope or "rate of change" at any point is 2x.. So when x=2 the slope is 2x = 4, as shown here:. Or when x=5 the slope is 2x = 10, and so on. In this method, if z = f (x, y) is the function, then we can compute the partial derivatives using the following steps: Step 1: Identify the variable with respect to which we have to find the partial derivative. Step 2: Except for the variable found in Step 1, treat all the other variables as constants....