**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.

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