Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.) X (b) Find all critical values of f(x). (Enter your answers as a comma-separated list.) x= DNE X = 38 (c) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (d) Find the interval(s) where f(x) is decreasing. (Enter your answer using interv₁notation.) 8 38 (e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) 3080 x = 30100 8
Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.) X (b) Find all critical values of f(x). (Enter your answers as a comma-separated list.) x= DNE X = 38 (c) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (d) Find the interval(s) where f(x) is decreasing. (Enter your answer using interv₁notation.) 8 38 (e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) 3080 x = 30100 8
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Suppose that f(x)
= 16x - 6 In(x),
x>0. (If an answer does not exist, enter DNE.)
(a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.)
X =
38
X
(b) Find all critical values of f(x). (Enter your answers as a comma-separated list.)
x= DNE
X
(c) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.)
3018
∞
(d) Find the interval(s) where f(x) is decreasing. (Enter your answer using intervnotation.)
0.
3
(e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.)
X =
3000
8
x
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