Calculus - simple one

39

px^{p-1}y^{q}+x^{p}qy^{q-1}\frac{dy}{dx}=(p+q)(x+y)^{p+q-1}(1+\frac{dy}{dx})

now i think u can rearrange the terms to get \frac{dy}{dx}

1

don't you think it would be tedious to do that and then cancelling the terms ....i think taking log first and then differentiating will help...

1

oops sorry
nishant sir has already given this method in "simple"

1

just take log and do naa.........u'll get..........

plogx*qlogy=(p+q)log(x+y)

u'll get remaning by differentiating.........

simple one