Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following function.

N(p)=100-5p^2 ; 1 < p < 4

A) Find the average rate of change of demand for a change in price from $2 to $3.

B) Find the instantaneous rate of change of demand when the price is $2

C) Find the instantaneous rate of change of demand when the price is $3