Question

What is the implicit derivative of `10=xy-y^2+x^2`?

Answer 1

`(dy)/(dx)=(y+2x)/(x-2y)`

Explanation:

`10=xy-y^2+x^2`

`0=xtimes(dy)/(dx)+y-2ytimes(dy)/(dx)+2x`

`0=(x-2y)times(dy)/(dx)+y+2x`

`(dy)/(dx)=(y+2x)/(x-2y)`