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### Assignment 3

Determine the extreme of the function:

and verify whether it is a maximum or a minimum by using the sign of the first derivative.

### Solution

In order to find the candidates for extremes we have to calculate the derivative and solve the following equation:

thus:

and the solution of this quadratic equation is:

or

Close to the derivative has the following signs + - and thus is a maximum. Close to the derivative has the following signs - + and thus this point is a minimum.

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