20 Dec 2021
Problem 63a
Page 182
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
We are given the function .
Step-by-step explanation
Step 1.
Let be the antiderivative to the left, where is a constant number. Since differentiating a constant number yields , we can attach any constant to the antiderivative without changing the derivative. Because of that, has infinitely many antiderivatives.
We can check our answer by finding the derivative of . Since really is the antiderivative of .