f(2) = -3 sin a cos z on [-7, 7] a) Find the critical numbers of f. (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: f is decreasing on: c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at a = (Separate multiple answers by commas.) Relative minima occur at a = (Separate multiple answers by commas.)

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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f(2) = -3 sin x cos x
on [-T, 7]
a) Find the critical numbers of f.
(Separate multiple answers by commas.)
b) Determine the intervals on which f is increasing and decreasing.
f is increasing on:
f is decreasing on:
c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither.
Relative maxima occur at x =
(Separate multiple answers by commas.)
Relative minima occur at x =
(Separate multiple answers by commas.)
Transcribed Image Text:f(2) = -3 sin x cos x on [-T, 7] a) Find the critical numbers of f. (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: f is decreasing on: c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at x = (Separate multiple answers by commas.) Relative minima occur at x = (Separate multiple answers by commas.)
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