Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let 1 f(x) = -₂²² +2 2 Critical Point = Is f a maximum or minumum at the critical point? ? The interval on the left of the critical point is On this interval, fis ? ◆ while f' is ? The interval on the right of the critical point is On this interval, fis ? while f' is ?
Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let 1 f(x) = -₂²² +2 2 Critical Point = Is f a maximum or minumum at the critical point? ? The interval on the left of the critical point is On this interval, fis ? ◆ while f' is ? The interval on the right of the critical point is On this interval, fis ? while f' is ?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
![Find the critical point and the interval on which the
given function is increasing or decreasing, and apply
the First Derivative Test to the critical point. Let
ƒ(x) = −²+2
1
Critical Point =
Is f a maximum or minumum at the critical point?
?
The interval on the left of the critical point is
On this interval, f is ?
◆ while f' is
?
The interval on the right of the critical point is
On this interval, f is?
while f' is
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3231216-ac6a-463c-8e67-724e263e6aaa%2Fca35a1b5-219d-4dca-b35a-3c8d2d588197%2Fj8wo2f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the critical point and the interval on which the
given function is increasing or decreasing, and apply
the First Derivative Test to the critical point. Let
ƒ(x) = −²+2
1
Critical Point =
Is f a maximum or minumum at the critical point?
?
The interval on the left of the critical point is
On this interval, f is ?
◆ while f' is
?
The interval on the right of the critical point is
On this interval, f is?
while f' is
?
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