(a) Find the critical numbers of the function f(x) = x6(x – 4)2. (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? (c) What does the First Derivative Test tell you?

(a) Find the critical numbers of the function f(x) = x6(x – 4)2. (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? (c) What does the First Derivative Test tell you?

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

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

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Question

Can you please outline the answers with the corresponding letter for each question thanks

Exercise
(a)
Find the critical numbers of the function f(x) = x6(x – 4)².
What does the Second Derivative Test tell you about the behavior of f at these critical numbers?
(b)
What does the First Derivative Test tell you?
(c)
Part 1 of 3
Find the critical numbers of the function f(x) = x°(x – 4)². (Enter your answers as a comma-separated
(a)
list. If an answer does not exist, enter DNE.)
X =

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