If x^2e^y+2xye^x+13=0 then (dy)/(dx)=...

If `x^2e^y+2xye^x+13=0` then `(dy)/(dx)=`

A

`[(-2xe^(y-x)+2y(x-1))/(x(xe^(y-x)+2))]`

B

`-[(2xe^(y-x)+2y(x+1))/(x(xe^(y-x)+2))]`

C

`[(2xe^(y-x)+2y(x-1))/(x(xe^(y-x)+2))]`

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If x^(y)= e^(x-y) , then find (dy)/(dx)

If e^x + e^y = e^(x+y) then (dy )/( dx) =……..

If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx) is equal to

If xlog_(e)y+ylog_(e)x=5 , then (dy)/(dx) is

If sin(x y)+cos(x y)=0 , then (dy)/(dx) is

If x^y+y^x=2, find (dy)/(dx) .

If x^(y)=e^(x-y) , prove that (dy)/(dx)=(logx)/((1+logx)^(2)).

If y=e^(x)sin x , then find (dy)/(dx)

If y=log_(e)x+sinx+e^(x)" then "(dy)/(dx) is

If e^(y) (x+ 1)=1 , show that (d^(2)y)/(dx^(2))= ((dy)/(dx))^(2)