question_answer

If \[{{x}^{p}}{{y}^{q}}={{(x+y)}^{p+q}},\] then \[\frac{dy}{dx}=\]

A)  \[\frac{x}{y}\]                         

B)  \[\frac{y}{x}\]

C)  \[\frac{-y}{x}\]                        

D)  \[-\frac{x}{y}\]

E)  None of these