The graph of derivative function y = f'(x) is given as föllóws. Answer the questions regarding the original function f (x). 10 (Careful: This is the graph of the derivative!) a) Find the x-coordinates of all critical points of the original function f(x), and determine their nature (local maximum, local minimum, or neither). b) Determine the intervals of increase and decrease for the original function f(x). c) Find the x-coordinates of all inflection points. d) Determine the intervals of concavity for the original function f (x).

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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The graph of the derivative function y = f'(x) is given as follows. Answer the
questions regarding the original function f(x).
10
(Careful: This is the graph of the derivative!)
a) Find the x-coordinates of all critical points of the original function f(x), and determine their
nature (local maximum, local minimum, or neither).
b) Determine the intervals of increase and decrease for the original function f(x).
c) Find the x-coordinates of all inflection points.
d) Determine the intervals of concavity for the original function f (x).
Transcribed Image Text:The graph of the derivative function y = f'(x) is given as follows. Answer the questions regarding the original function f(x). 10 (Careful: This is the graph of the derivative!) a) Find the x-coordinates of all critical points of the original function f(x), and determine their nature (local maximum, local minimum, or neither). b) Determine the intervals of increase and decrease for the original function f(x). c) Find the x-coordinates of all inflection points. d) Determine the intervals of concavity for the original function f (x).
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