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### Assignment 7

Determine the extremes of the function:

Verify in which point there is a maximum or a minimum by using the second derivative.

### Solution

We find the candidates for extremes by calculating the first derivative and making it equal to :

or:

and this equation has the solutions:

or

The second derivative is:

For we have: and thus there is a minimum for

For we have: and thus there is a maximum for .

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