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**[SOLVED] Maximum and minimum problem**

## Homework Statement

Determine the global maximum and global minimum of the following func-

tions on the given interval, or indicate why these do not exist.

f(x) = [tex]x^{2}e^{x}[/tex] on [2, 1].

## Homework Equations

## The Attempt at a Solution

I do not understand the way the lecturer solves this kind of question. I am used to finding values of f'(x) and then substituting these into f''(x) to find the local maxima/minima, he is using some kind of number scale which is hard to illustrate. As for the actual solution i think there is a local maximum at x=0, and a minimum at x=-2.