(a) Calculate average rate of change of the

h(x)=e^(x)

on the interval

1.5

.\ (b) Estimate the instantaneous rate of change (the derivative) of the function

h(x)=e^(x)

at the point

x=1.5

using small parameter

h=0.0001

.\ \\\\table[[

x

,1,1.5,2,2.5,3,3.5,4],[

h(x)

,2.72,4.48,7.39,12.18,20.09,33.12,54.60]]

(a) Calculate average rate of change of the h(x)=ex on the interval 1.5x4. (b) Estimate the instantaneous rate of change (the derivative) of the function h(x)=ex at the point x=1.5 using small parameter h=0.0001