Complete the following for each function.

(a) Find f(x).

(b) Check your result in part (a) by graphing both it and the numerical derivative of the function.

(c) Find x-values for which the slope of the tangent is 0.

(d) Find points (x, y) where the slope of the tangent is 0.

(e) Use a graphing utility to graph the function and locate the points found in part (d).

1. f (x) = (x2 - 4)3 + 12

2. f(x) = 10 - (x2 - 2x - 8)2