Question

Find the absolute maximum and absolute minimum values of f on the given interval.

Answer 1

Step 1:

The function is on interval .

Apply derivative on each side with respect to .

.

Using derivative formulae .

Step 2:

Find the critical numbers of on the interval by solve .

The function has local minimum or maximum at and .

is not on the interval , Hence it is not consider.

Step 3:

Substitute in .

Find the values of the function at the end points of the interval .

The function has absolute maximum is .

The function has absolute minimum is .

Solution:

The function has absolute maximum is .

The function has absolute minimum is .