**Problem : **
*f* (*x*) = *x*
^{3} -4*x*
^{2} - 4
. Show where
*f* (*x*)
is increasing and where it is decreasing.

**Problem : **
*f* (*x*) = *sin*(*x*)
. Where is
*f*
increasing and decreasing on the interval
[0, 2*Π*]?

The sign of the derivative and the behavior of the function is indicated below:

**Problem : **
Classify the critical points of
*f* (*x*) = *x*
^{3} -3*x*
^{2} - 9*x*
.

**Problem : **
Below is the graph of the derivative of a function
*f*
. Find regions where
*f*
is
increasing and decreasing, and classify the critical points.