SOLUTION: Find the absolute maximum and absolute minimum values of the function below. If an absolute maximum or minimum does not exist, enter NONE. f(x) = x^2 + 432/x on the open interval

Question 361533: Find the absolute maximum and absolute minimum values of the function below. If an absolute maximum or minimum does not exist, enter NONE.
f(x) = x^2 + 432/x on the open interval (0, infinity)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
An absolute minimum exists at x = 6.
,
. Letting this derivative equal 0, and solving,
we get , or , or x = 6.
Now . Substitute x = 6 into the 2nd derivative to find out that . Therefore there is an absolute minimum at x = 6.
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