Questions: 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 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 function, enter ∅ in the appropriate box. f(x)=(x+4)^3(3x-2)^2 Provide your answer below: - Local maxima occur at x= . - Local minima occur at x= .
Transcript text: 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 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 function, enter $\varnothing$ in the appropriate box.
\[
f(x)=(x+4)^{3}(3 x-2)^{2}
\]
Provide your answer below:
- Local maxima occur at $x=$ $\square$ .
- Local minima occur at $x=$ $\square$ .
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