SOLUTION: For f(x) = x^3 - 27x, there is a local minimum value of -54 at 3. Determine the local maximum value.

Algebra ->  Equations -> SOLUTION: For f(x) = x^3 - 27x, there is a local minimum value of -54 at 3. Determine the local maximum value.      Log On


   

Question 1208052: For f(x) = x^3 - 27x, there is a local minimum value of -54 at 3. Determine the local maximum value.
Answer by greenestamps(13200) 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 minimum at (3,-54), there is a local maximum at (-3,54).

ANSWER: local maximum 54 at x=-3

graph%28400%2C400%2C-5%2C5%2C-80%2C80%2Cx%5E3-27x%29