Find locations (ordered pairs) of all absolute extrema for the following function with the specific domain.

Domain: [0,3]

What do i do after this to find the absolute extrema (min,max)

Thanks!

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- March 22nd 2009, 09:17 PMJim MarnellStuck on absolute extrema problem
Find locations (ordered pairs) of all absolute extrema for the following function with the specific domain.

Domain: [0,3]

What do i do after this to find the absolute extrema (min,max)

Thanks! - March 22nd 2009, 09:43 PMChris L T521
Note that your derivative simplifies to

Since never equals zero, we must consider where it is undefined. This is when . Since we can't consider it to be a critical point.

Since the interval of interest is a closed interval, consider the value of the function at the endpoints:

Thus, the absolute maximum is at and the absolute minimum is at .

Does this make sense? - March 23rd 2009, 05:36 AMJim Marnell
Thanks, I understand how to figure these problems out now!