Derivative problem

Question

The quantity of computers that are sold by a computer manufacturer at a price of p dollars per unit is Q(p). What is the meaning of the derivative Q’(800)? What are the units?

Answer 1

Michelle....

The function Q(p) is the number of units sold as a function of the price p. The derivative Q'(p) is the change in the number of units sold with respect to its price. So Q'(800) is the change in the number of units sold when the price is $800. The units of Q'(800) is $/unit.

Hope this helps....