Use the Second Derivative Test to Find the Relative Extrema $f(x)=2 x^{3}-3 x^{2}-36 x-5$

Use the Second Derivative Test to find the relative extrema, if any, of the function $f(x) =2 x^{3}-3 x^{2}-36 x-5$ .

A) Rel. max. $f(-3) =22$ ,
Rel. min. $f(2) =-73$
B) Rel. max. $f(-2) =39$ ,
Rel. min. $f(3) =-86$
C) Rel. max. $f(3) =86$ ,
Rel. min. $f(-2) =-39$
D) Rel. max. $f(2) =73$ ,
Rel. min. $f(-3) =-22$

Correct Answer:

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