NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -0o. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -2 sin(x) cos(x) on (-7, 7) a) Find the critical numbers of f. -pi/4, pi/4 (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: (pi/4.pi) f is decreasing on: (-pi/4.pi/4) c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at = -pl/4 (Separate multiple answers by commas.) Relative minima occur at x pi/4 (Separate multiple answers by commas.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 78E
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NO TE: When using interval notation in WeBWork, remember that:
You use 'INF' for oo and '-INF' for -0o.
And use 'U' for the union symbol.
Enter DNE if an answer does not exist.
f(x) = -2 sin(x) cos(z)
on (-7, 7)
a) Find the critical numbers of f. -pi/4, pi/4
(Separate multiple answers by commas.)
b) Determine the intervals on which f is increasing and decreasing.
f is increasing on: (pi/4.pi)
f is decreasing on: (-pi/4.pi/4)
c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither.
Relative maxima occur at x = -pl/4
(Separate multiple answers by commas.)
Relative minima occur at x
pi/4
(Separate multiple answers by commas.)
Transcribed Image Text:NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -0o. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -2 sin(x) cos(z) on (-7, 7) a) Find the critical numbers of f. -pi/4, pi/4 (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: (pi/4.pi) f is decreasing on: (-pi/4.pi/4) c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at x = -pl/4 (Separate multiple answers by commas.) Relative minima occur at x pi/4 (Separate multiple answers by commas.)
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