9.) Let f(x) =(a) Findf'(x) =(b) Findf"(x) ==x4 - 162x²11(c) On what interval is f increasing?Increasing interval:(d) On what interval is f decreasing?Decreasing interval:(e) On what interval is f concave downward?Concave down:(f) On what interval is f concave upward?Concave up:

Answered: Image /qna-images/answer/5ebcfc63-ff5b-4bc7-a7a1-31021a3aea96.jpg

Answered: Let f(x) = (a) Find f'(x) = (b) Find…

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 83E

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Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Ja

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Let f(x) = (a) Find f'(x) = (b) Find f'(x) = = x4 - 162x² 11 (c) On what interval is f increasing? Increasing interval: (d) On what interval is f decreasing? Decreasing interval: (e) On what interval is f concave downward? Concave down: (f) On what interval is f concave upward? Concave up: