Question: I have the answer, but how would I solve it step-by-step? Thank you. 52. Use the Second Derivative Test to find all local extrema, if

I have the answer, but how would I solve it step-by-step? Thank you.

52. Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the First Derivative Test. f (x) = 4x3 - 6x2 - 24x A) Local Maxima: No Local Maxima; Local Minima: No Local Minima B) Local Maxima: (-1,0); Local Minima: (2,0) C) Local Maxima: (-1,14); Local Minima: (2, -40) D) Local Maxima: No Local Maxima; Local Minima: (-1,14)

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