Suppose the demand for a certain item is given by $D(p)=-5p^2+3p+8,$ where $p$ represents the price of the item. Find $D^{\text{'}}(p),$ the rate of change of demand with respect to price.

A$.D^{\text{'}}(p)=-5p^2+3$

B$.D^{\text{'}}(p)=-10p+3$

C$.D^{\text{'}}(p)=-10p^2+3$

D$.D^{\text{'}}(p)=-5p+3$