BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 24E
To determine

To find:

The differentiation of the given function

Expert Solution

Answer to Problem 24E

Differentiating the function is dvdx=2(x+1x3)(12x1213x43)

Explanation of Solution

Given:

The function is

  v=(x+1x3)2

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  v=(x+1x3)2...................(1)

The derivative of a function

  y=f(x)y=f(x)=dydx

Differentiating the equation (1) with respect to x

  dvdx=ddx(x+1x3)2dvdt=2(x+1x3)ddt(x+1x3)dvdx=2(x+1x3)(12x1213x43)

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