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%3D Let f be a twice-differentiable function such that f' (1) = 0. The second derivative of f is given by f" (x) = a2 cos (z2 +) for-1<<3. (a) On what open intervals contained in -1

%3D Let f be a twice-differentiable function such that f' (1) = 0. The second derivative of f is given by f" (x) = a2 cos (z2 +) for-1<<3. (a) On what open intervals contained in -1

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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(c) Use the Mean Value Theorem on the closed interval -1, 1] to show that f' (-1) cannot equal 2.5. B Iy|m而 (d) Does the graph of f have a point of inflection at x 0? Give a reason for your answer. B IU u|= 市 hp
Transcribed Image Text:(c) Use the Mean Value Theorem on the closed interval -1, 1] to show that f' (-1) cannot equal 2.5. B Iy|m而 (d) Does the graph of f have a point of inflection at x 0? Give a reason for your answer. B IU u|= 市 hp
Let f be a twice-differentiable function such that f' (1) = 0. The second derivative of f is given by f" (x) = x2 cos (x + T) for -1<<3. (a) On what open intervals contained in -1<¢<3 is the graph of f concave up? Give a reason for your answer. B IU E E (b) Does f have a relative minimum, a relative maximum, or neither at r =1? Justify your answer. B I y m市 | 38
Transcribed Image Text:Let f be a twice-differentiable function such that f' (1) = 0. The second derivative of f is given by f" (x) = x2 cos (x + T) for -1<<3. (a) On what open intervals contained in -1<¢<3 is the graph of f concave up? Give a reason for your answer. B IU E E (b) Does f have a relative minimum, a relative maximum, or neither at r =1? Justify your answer. B I y m市 | 38
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