(a) Find the critical numbers of the function f(x) x8(x - 6)2. %3D 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

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
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Exercise
Find the critical numbers of the function f(x) = x³(x – 6)2.
What does the Second Derivative Test tell you about the behavior of f at these critical numbers?
(a)
(b)
(c)
What does the First Derivative Test tell you?
Part 1 of 3
(a) Find the critical numbers of the function f(x) = x°(x – 6)². (Enter your answers as a comma-separa
list. If an answer does not exist, enter DNE.)
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Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you wll part. Exercise Find the critical numbers of the function f(x) = x³(x – 6)2. What does the Second Derivative Test tell you about the behavior of f at these critical numbers? (a) (b) (c) What does the First Derivative Test tell you? Part 1 of 3 (a) Find the critical numbers of the function f(x) = x°(x – 6)². (Enter your answers as a comma-separa list. If an answer does not exist, enter DNE.) Submit Skip (you cannot come back) Submit Answer 4. DETAILS
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