Available Jun 10 at 12 am - Jun 23 at 11:59pm CALCULUS I (2024L3-MATH-265-DL2) MASTERY \( \leftarrow \) Module 5 Assignment 1 Due Sunday, Jun 23, 11:59pm EDT (9) CURRENT OBJECTIVE (PAUSED) Use the first derivative test to find local extrema of a transcendental function REFRESHER (2) Use derivatives to find critical points of a function Question Find the critical points of the function \[ f(x)=-3 \sin (x) \cos (x) \] contained in the interval \( (0,2 \pi) \). Use a comma to separate multiple critical points. Enter an exact answer. Provide your answer below: \[ x= \] FEEDBACK MORE INSTRUCTION SUBMIT Content attribution
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Step 1: Given the function \( f(x) = -3 \sin(x) \cos(x) \), we need to find its critical points in the interval \( (0, 2\pi) \). Show moreā¦
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a. Find the critical points of $f$ on the given interval. b. Determine the absolute extreme values of $f$ on the given interval when they exist. c. Use a graphing utility to confirm your conclusions. $$f(x)=\cos ^{2} x \text { on } [0, \pi]$$
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