Complete the following steps for f (t) = t³ – 6t² + 4 a) Find f'(t). b) Find the critical points by setting f'(t) = 0 and solving for t. c) Find f"(t). d) Use the second derivative test to determine if the critical points are local maximum or local minimum (or can't be determined). e) Find points of inflection by setting f"(t) = 0 and solving for t. f) Determine the intervals on which the function is concave up and concave down. g) Graph the function in Desmos to verify your results.

Complete the following steps for f (t) = t³ – 6t² + 4 a) Find f'(t). b) Find the critical points by setting f'(t) = 0 and solving for t. c) Find f"(t). d) Use the second derivative test to determine if the critical points are local maximum or local minimum (or can't be determined). e) Find points of inflection by setting f"(t) = 0 and solving for t. f) Determine the intervals on which the function is concave up and concave down. g) Graph the function in Desmos to verify your results.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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