Consider the function http://www.imathas.com/cgi-bin/mimet...D%5Cleq%7B5%7D.

This function has an absolute minimum value equal to

and an absolute maximum value equal to

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- November 28th 2012, 12:25 PMapple111derivative function
Consider the function http://www.imathas.com/cgi-bin/mimet...D%5Cleq%7B5%7D.

This function has an absolute minimum value equal to

and an absolute maximum value equal to - November 28th 2012, 01:34 PMskeeterRe: derivative function
what have you done with this problem?

- November 29th 2012, 06:44 PMx3bnmRe: derivative function
Absolute max or min is where first derivative is zero.

So absolute max or min can be at or . But to find out which one which you plug-in the values into the function and find out which one's larger than the other.

Now plug-in and separately into you'll find that

The function has absolute max at

And has absolute min at

You can check it in the following graph to be sure:

Attachment 25984 - November 29th 2012, 08:56 PMProve ItRe: derivative function
- November 29th 2012, 10:06 PMx3bnmRe: derivative function