1. Consider the function f(x) = x³ – 3x². a. Sign analyze f (x). b. Find the derivative, f'(x). c. Sign analyze f'(x). d. From your work above, find the x-value where there is a local maximum. Justify your answer. e. From your work above, find the x-value where there is a local minimum. Justify your answer. f. Find f"(x).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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I only need the answers for d, e, and f. 

1. Consider the function f(x) = x³ – 3x?.
a. Sign analyze f (x).
b. Find the derivative, f'(x).
c. Sign analyze f'(x).
d. From your work above, find the x-value where there is a local maximum. Justify
your answer.
e. From your work above, find the x-value where there is a local minimum. Justify
your answer.
f. Find f"(x).
Transcribed Image Text:1. Consider the function f(x) = x³ – 3x?. a. Sign analyze f (x). b. Find the derivative, f'(x). c. Sign analyze f'(x). d. From your work above, find the x-value where there is a local maximum. Justify your answer. e. From your work above, find the x-value where there is a local minimum. Justify your answer. f. Find f"(x).
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