SOLUTION: For f(x) = -x^3 + 12x, there is a local maximum value of 16 at 2. Determine the local minimum value.

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Question 1208051: For f(x) = -x^3 + 12x, there is a local maximum value of 16 at 2. Determine the local minimum value.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The function is a polynomial with only odd powers, so it is an odd function.

The graph of an odd function is symmetrical with the origin. So, if there is a local maximum at (2,16), there is a local minimum at (-2,-16).

ANSWER: local minimum -16 at x=-2

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