Solve the Problem $y = f ( x )$ Is $y ^ { \prime } = ( x - 3 ) ^ { 2 } ( x + 5 )$

Multiple Choice

Solve the problem.
-Suppose the derivative of the function $y = f ( x )$ is $y ^ { \prime } = ( x - 3 ) ^ { 2 } ( x + 5 )$ . At what points, if any, does the graph of $f$ have a local minimum or local maximum?

A) local maximum at x = -5
B) no local minimum or local maximum
C) local minimum at x = -5
D) local minimum at x = 3