**Problem : **
*f* (*x*) = 2*x*
^{3} -3*x*
^{2} - 4
. Use the second derivative test to classify the critical points.

**Problem : **
Describe the concavity of
*f* (*x*) = 2*x*
^{3} -3*x*
^{2} - 4
and find any inflection points.

**Problem : **
*f* (*x*) = *sin*(*x*)
. Use the second derivative test to classify the critical points on the interval
[0, 2*Π*]
.

**Problem : **
Describe the concavity of
*f*
and find any inflection point for
*f* (*x*) = *sin*(*x*)
on the
interval
[0, 2*Π*]
.