Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local...

Please evaluate the following function and explain.

Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither.f(x) =x3 + 15x2 + 17What is(are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The critical point(s) is(are) x =(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)O B. There are no critical points for f.What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The local minimum/minima of f is/are at x =(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)O B. There is no local minimum of f.What is/are the local maximum/maxima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The local maximum/maxima of f is/are at x =(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)O B. There is no local maximum of f.