Let f(x) = 9 - 1/2 x2.
(a) Use the definition of derivative and the Procedure/Example box in this section to verify that f(x) = - x.
(b) Find the instantaneous rate of change of f (x) at x = 2.
(c) Find the slope of the tangent to the graph of y = f (x) at x = 2.
(d) Find the point on the graph of y = f(x) at x = 2.