2 Nov 2021
Problem 3b
Page 162
Section 2.8: What Does f' say About f ?
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
2 Nov 2021
Given information
Given the graph of the derivative of a function :
Step-by-step explanation
Step 1.
is a point of local minima if has the smallest value among the neighbouring values of .
If changes its sign from negative to positive at a point , then is a point of local minima.
Now, at , changes its sign from negative to positive.
Thus, the function has a local minima at .
Also, at , changes its sign from negative to positive.
Thus, the function has a local minima at .