Given the continuous graph of f'(x), find the following:  A. On what interval is f decreasing and increasing?  B. When is the graph of f concave upward or downward?  C. State the x-coordinates of the points of inflection D. Assuming f(0) = 0 and sketch the graph of f.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 25E: Explain the relationship between the slope and the derivative of fx at x=a.
icon
Related questions
Question

Given the continuous graph of f'(x), find the following: 

A. On what interval is f decreasing and increasing? 

B. When is the graph of f concave upward or downward? 

C. State the x-coordinates of the points of inflection

D. Assuming f(0) = 0 and sketch the graph of f.

УА
y
2
0
-2
y = f'(x)
2
4
6
8 x
Transcribed Image Text:УА y 2 0 -2 y = f'(x) 2 4 6 8 x
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer