Solve the Problem $D(p)=-3 p^{2}+8 p+2$ , Where $p$ Represents the Price of the Item

Multiple Choice

Solve the problem.
-Suppose the demand for a certain item is given by $D(p) =-3 p^{2}+8 p+2$ , where $p$ represents the price of the item. Find $D^{\prime}(p)$ , the rate of change of demand with respect to price.

A) $D^{\prime}(p) =-3 p^{2}+8$
B) $D^{\prime}(p) =-3 p+8$
C) $D^{\prime}(p) =-6 p^{2}+8$
D) $D^{\prime}(p) =-6 p+8$