Determine the intervals on which the function is increasing/decreasing.f(x) = 4 In(x) - 17 arctan(x)Increasing:o(-0) u (0.)ㅇ(금)(-)ㅇ(0, 금) U (4, m)O none of the aboveDecreasing:o(-0) (0, )ㅇ(능)0(--)ㅇ(0, ) U(4,-)O none of the aboveIdentify all local extrema with the first derivative test. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)local maximumlocal minimumX =

Given fumction fx= 4lnx - 17tan-1x

Answered: etermine the intervals on which the…

etermine the intervals on which the function is increasing/decreasing. f(x) = 4 In(x) - 17 arctan(x) mcreasing: o(-)u (0.) 0(--) ㅇ(0,.) U(4.-) O none of the above ecreasing: o(-) (0.) o(--) le 1)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

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Determine the intervals on which the function is increasing/decreasing.
f(x) = 4 In(x) - 17 arctan(x)
Increasing:
o(-0) u (0.)
ㅇ(금)
(-)
ㅇ(0, 금) U (4, m)
O none of the above
Decreasing:
o(-0) (0, )
ㅇ(능)
0(--)
ㅇ(0, ) U(4,-)
O none of the above
Identify all local extrema with the first derivative test. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
local maximum
local minimum
X =

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