Suppose the derivative of the function y=f(x) is y' = (x-1)2(x- 3)(x-6). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? Find the x-values of any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 16. O A. x= O B. There are no local minima. (Simplify your answer. Use a comma to separate answers as needed.) Find the x-values of any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. О А. х%3D O B. There are no local maxima. (Simplify your answer. Use a comma to separate answers as needed.) Find the x-values of any points of inflection. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. О А. х%3 (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no inflection points.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Suppose the derivative of the function y=f(x) is y' = (x-1)2(x- 3)(x-6). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection?
Find the x-values of any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
16.
O A. x=
O B. There are no local minima.
(Simplify your answer. Use a comma to separate answers as needed.)
Find the x-values of any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
О А. х%3D
O B. There are no local maxima.
(Simplify your answer. Use a comma to separate answers as needed.)
Find the x-values of any points of inflection. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
О А. х%3
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
O B. There are no inflection points.
Transcribed Image Text:Suppose the derivative of the function y=f(x) is y' = (x-1)2(x- 3)(x-6). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? Find the x-values of any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 16. O A. x= O B. There are no local minima. (Simplify your answer. Use a comma to separate answers as needed.) Find the x-values of any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. О А. х%3D O B. There are no local maxima. (Simplify your answer. Use a comma to separate answers as needed.) Find the x-values of any points of inflection. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. О А. х%3 (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no inflection points.
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