tealdog39Lv1
3 Dec 2021
Problem 1c
Page 162
Section 2.8: What Does f' say About f ?
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
3 Dec 2021
Given information
Given the graph of the derivative of a function :
The given condition is that .
Step-by-step explanation
Step 1.
- The function is said to be increasing function in an interval if or that interval and the function is said to be decreasing function in an interval if for that interval.
- Determine the intervals where and from the graph of .
- The function has inflection point where that is the function has inflection point where the slope of the tangent to the curve is 0.
- Determine the point where the slope of the tangent to the curve is 0.
- Determine the point of inflection.
From the graph of the function , it can be noticed that for and for .
The slope of the tangent to the curve is 0 is .
Therefore, the point of inflection is .