Example 2 (a).  Compute numerical approximations for the derivative  ,  using step sizes  ,  include the details.

Solution 2 (a).

Aside.  Which step size h = 0.1, h = 0.01, or  h = 0.001 gave the best approximation.  Do you think that it will be better with   ?

(c) John H. Mathews 2004