SOLUTION: find the maximum point of the curve y = x 3 -x 2 -5x

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Question 1123726: find the maximum point of the curve y = x 3 -x 2 -5x
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28d%2Fdx%29%28x%5E3-x%5E2-5x%29
3x%5E2-2x-5

3x%5E2-2x-5=0

roots %282-sqrt%284%2B60%29%29%2F6=%282-8%29%2F6=-1 and %282%2B8%29%2F6=5%2F3=1%262%2F3

If you are familiar with the general shape of a cubic function, you expect that the maximum point is on the left of the other extreme point. That will be for this example, x=-1.

y=5