Question

How do you implicitly differentiate `2x^2+y^2=9xy-y`?

Answer 1

You can do it like this:

Explanation:

`2x^2+y^2=9xy-y`

`D(2x^2+y^2)=D(9xy-y)`

`:.4x+2yy'=9(xy'+y)-y'`

`:.y'+2yy'-9xy'=9y-4x`

`:.y'(2y-9x)=9y-4x`

`:.y'=((9y-4x))/((2y-9x))`