Let f(x) = ex. For the value of a, fill in the table and use the resulting values to estimate f'(a).

Answer
The slope of the secant line from x = 0 to x = .1 is

The slope of the secant line from x = 0 to x = 0.01 is

The slope of the secant line from x = 0 to x = 0.001 is

The numbers 1.052, 1.01, 1 appear to be approaching 1. We estimate f'(0) = 1.