3- Suppose that the second derivative of the function y = f(x) is y" = (x + 1)(x - 2). For what x-values does the graph of f have an inflection point? 4- Suppose the derivative of the function y = f(x) is y' = (x – 1) (x - 2)(x - 4). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection?

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
Section3.5: Graphical Differentiation
Problem 2E
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Derivative
Homework
3- Suppose that the second derivative of the function y = f(x) is
y" = (x + 1)(x - 2).
For what x-values does the graph of f have an inflection point?
4- Suppose the derivative of the function y = f(x) is
y' = (x – 1)2(x - 2)(x - 4).
:-:
II
At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection?
Transcribed Image Text:Derivative Homework 3- Suppose that the second derivative of the function y = f(x) is y" = (x + 1)(x - 2). For what x-values does the graph of f have an inflection point? 4- Suppose the derivative of the function y = f(x) is y' = (x – 1)2(x - 2)(x - 4). :-: II At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,