16-10. Critical points Find the critical points of the following functions on the given intervals. Identify the absolute maximum and minimum values (if they exist). Graph the function to confirm your conclusions. 6. f(x) = sin 2x + 3 on [-7, 7] 7. f(x) = 2r3 – 3x² – 36x + 12 on (-x, 0) %3D 8. f(x) = 4x/2 – x5/2 on [0, 4] %3D 9. f(x) = 2r In x + 10 on (0, 4) 10. g(x) = x sinx on [-1, 1]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 26E: For each function find a the critical numbers; b the open intervals where the function is...
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16-10. Critical points Find the critical points of the following functions
on the given intervals. Identify the absolute maximum and minimum
values (if they exist). Graph the function to confirm your conclusions.
6. f(x) = sin 2x + 3 on [-7, 7]
7. f(x) = 2r3 – 3x² – 36x + 12 on (-x, 0)
%3D
8. f(x) = 4x/2 – x5/2 on [0, 4]
%3D
9. f(x) = 2r In x + 10 on (0, 4)
10. g(x) = x sinx on [-1, 1]
Transcribed Image Text:16-10. Critical points Find the critical points of the following functions on the given intervals. Identify the absolute maximum and minimum values (if they exist). Graph the function to confirm your conclusions. 6. f(x) = sin 2x + 3 on [-7, 7] 7. f(x) = 2r3 – 3x² – 36x + 12 on (-x, 0) %3D 8. f(x) = 4x/2 – x5/2 on [0, 4] %3D 9. f(x) = 2r In x + 10 on (0, 4) 10. g(x) = x sinx on [-1, 1]
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