Question Use the first derivative test to find the location of all local extrema in the interval $$ (-5,0) $$ for the function given below. $$ f(x)=-3(x+2) e^{4 x} $$ 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.

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Norris West · Accepted Answer

The location of the local maximum in the interval $$ (-5, 0) $$ is $$ x = -\frac{9}{4} $$.

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