To find: use part 1 of the fundamental theorem of calculus to find the derivative of the function.
Answer to Problem 16E
The derivative of the function is
Explanation of Solution
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 the definite integral to make the integral match the form in the fundamental theorem, so we have,
Since the upper limit of integration is not
Let,
Consider the new function
Differentiation with respect to u,
So
Hence, The derivative of the function is
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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