Question

For each of the values of h given, when x is increased from 1 to 1+h, work out:

Answer 1

This exercise should show you that as h approaches zero you get the value of the derivative of x^2 at x=1.

the change in x^2) / h
   h=1___
   h=.1____
   h=0.1_____
   h=.001___

change in x^2 = (1+h)^2 - 1^2 = (1+h)^2 - 1