Question

What is the derivative of `x^2+y^2=5xy`?

Answer 1

I found: `(dy)/(dx)=(5y-2x)/(2y-5x)`

Explanation:

You can use implicit derivation considering that `y` represents a fuction of `x` such as `y=f(x)` and has to be derived accordingly.
You get:
`2x+2y(dy)/(dx)=5y+5x(dy)/(dx)`
collecting `(dy)/(dx)`:
`(dy)/(dx)[2y-5x]=5y-2x`
and:
`(dy)/(dx)=(5y-2x)/(2y-5x)`