Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 5.4, Problem 12E

To determine

**To find: **use part 1 of the fundamental theorem of calculus to find the derivative of the function.

Expert Solution

The derivative of the function is

**Given information: **The function is

Let’s remind of the fundamental theorem of calculus part 1:

The fundamental theorem of calculus part 1: If f is continuous on

First, we will use the properties of definite integral to match the form in fundamental theorem of calculus part 1.

So,

Hence,

Now given,

Differentiation with respect to x,

**[**where

Thus,

Hence, The derivative of the function is