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Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) = - (x + sin(x)), 0 < x < 2 What are the critical point(s) = %3D What does the Second Derivative Test tell about the first critical point: ? What does the Second Derivative Test tell about the second critical point: What are the inflection Point(s) = On Interval 1 is f ? O ? is f' ? On Interval 2 is f ? ? is f' ? On Interval 1 is f ? On Interval 2 is f ?

Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) = - (x + sin(x)), 0 < x < 2 What are the critical point(s) = %3D What does the Second Derivative Test tell about the first critical point: ? What does the Second Derivative Test tell about the second critical point: What are the inflection Point(s) = On Interval 1 is f ? O ? is f' ? On Interval 2 is f ? ? is f' ? On Interval 1 is f ? On Interval 2 is f ?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) = - (x + sin(x)), 0 < x < 2T What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: ? What does the Second Derivative Test tell about the second critical point: ? What are the inflection Point(s) = On Interval 1 is f ? O ? is f' ? On Interval 2 is f ? O ? is f' ? On Interval 1 is f ? On Interval 2 is f ? Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".
Transcribed Image Text:Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) = - (x + sin(x)), 0 < x < 2T What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: ? What does the Second Derivative Test tell about the second critical point: ? What are the inflection Point(s) = On Interval 1 is f ? O ? is f' ? On Interval 2 is f ? O ? is f' ? On Interval 1 is f ? On Interval 2 is f ? Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".
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