# The differentiation of the given function

### Single Variable Calculus: Concepts...

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

### 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

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)

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!