Question

How do you differentiate `x^2 + 9y^2 = 1`?

Answer 1

`dy/dx=-x/(9y)`

Explanation:

`x^2+9y^2=1`

By implicit differentiation
`2x+9*2y*dy/dx =0`

`18y*dy/dx=-2x`

`dy/dx=-x/(9y)`