Determine the location of each local extremum of the function.
-$f(x)=x^{3}-9 x^{2}+27 x+1$
A) Local minimum at 3
B) Local maximum at 3
C) Local maximum at 3 ; local minimum at -3
D) No local extrema

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The Answer of Determine the location of each local extremum of the function.
-$f(x)=x^{3}-9 x^{2}+27 x+1$
A) Local minimum at 3
B) Local maximum at 3
C) Local maximum at 3 ; local minimum at -3
D) No local extrema

Determine the Location of Each Local Extremum of the Function f(x)=x3−9x2+27x+1f(x)=x^{3}-9 x^{2}+27 x+1f(x)=x3−9x2+27x+1

Determine the Location of Each Local Extremum of the Function $f(x)=x^{3}-9 x^{2}+27 x+1$