**Problem : **
Find the derivative of
*f* (*x*) = 3*x*
^{4} -2*x*
^{2} +5*x*
^{-1}
and evaluate it at
*x* = 2
.

**Problem : **
Find the velocity and acceleration functions corresponding to the position
function
*x*(*t*) = 3*t*
^{2} - 8*t* + 458
.

Notice that the acceleration in this case is constant, and that its value is equal to twice the coefficient of

**Problem : **
What happens when a car which is traveling along at constant velocity
screeches to a halt?