Determine the location of each local extremum of the function.
-$f(x)=-x^{3}-1.5 x^{2}+36 x+3$
A) Local maximum at 4 ; local minimum at -3
B) Local maximum at -4 ; local minimum at 3
C) Local maximum at 3 ; local minimum at -4
D) Local maximum at -3 ; local minimum at 4

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The Answer of Determine the location of each local extremum of the function.
-$f(x)=-x^{3}-1.5 x^{2}+36 x+3$
A) Local maximum at 4 ; local minimum at -3
B) Local maximum at -4 ; local minimum at 3
C) Local maximum at 3 ; local minimum at -4
D) Local maximum at -3 ; local minimum at 4

Determine the Location of Each Local Extremum of the Function f(x)=−x3−1.5x2+36x+3f(x)=-x^{3}-1.5 x^{2}+36 x+3f(x)=−x3−1.5x2+36x+3

Determine the Location of Each Local Extremum of the Function $f(x)=-x^{3}-1.5 x^{2}+36 x+3$