tool Available Jun 10 at 12 am - Jun 23 at \( 11: 59 \) pm CALCULUS I (2024L3-MATH-265-DL2) MASTERY Module 5 Assignment 1 Due Sunday, Jun 23, 11:59pm EDT CURRENT OBJECTIVE Use the first derivative test to find local extrema of a transcendental function Question Use the first derivative test to find the location of all local extrema in the interval \( (0,2 \pi) \) for the function given below. \[ f(x)=\cos (3 x)-2 \] If there is more than one local maximum or local minimum, write each value of \( x \) separated by a comma. If a local maximum or local minimum does not occur on the interval, enter \( \varnothing \) in the appropriate box. Enter exact answers. Provide your answer below: The local maxima occur at \( x= \) \( \square \) . The local minima occur at \( x= \) \( \square \) . FEEDBACK MORE INSTRUCTION SUBMIT Content attribution
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\[ f'(x) = \frac{d}{dx} [\cos(3x) - 2] \] \[ f'(x) = -3 \sin(3x) \] Show more…
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Question Use the First Derivative Test to find the location of all local extrema for the function given below. Enter an exact answer. If there is more than one local maxima or local minima, write each value of x separated by a comma. If a local maxima or local minima does not occur on the function, enter ∅ in the appropriate box. f(x) = (3x^4)/4 - 4x^3 - 2 Provide your answer below: Local maxima occur at x = Local minima occur at x =
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