Question

How do you implicitly differentiate `xy-1/y^2=22`?

Answer 1

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

Explanation:

Start by differentiating both sides, bearing in mind that y is a function of x.

`d/dx(xy-1/y^2)=d/dx22`

`therefore xdy/dx+y+2/ydy/dx=0`

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