The function is $\"g(x)=\\frac{1$ and the interval is $\"[$ .

$\"g(x)=\\frac{1$

Apply derivative on each side with respect to $\"x\"$ .

$\"\\frac{d\\$

$\"\\small$

To find the critical numbers of $\"g(x)\"$ , equate $\"g\'(x)\"$ to zero.

$\"\\\\g\'(x)=0$

The function $\"y\"$ has critical value at $\"x=-1\"$ .

$\"x=-1\"$ is in the region $\"[$ .

$\"\\\\g(-1)=\\frac{1$

To find the absolute extreme of function in given region $\"[$ , sketch the function .

$\"\"$

Critical point $\"(-1,\\$ is maximum point over the interval $\"[$ .

Right end point $\"(3,\\$ is minimum point over the interval $\"[$ .

$\"\"$

Minimum point is $\"(3,\\$ .

Maximum point is $\"(-1,\\$ .