Question

How do you use implicit differentiation to find dy/dx given `x^2+y^2+3x-4y=9`?

Answer 1

`dy/dx= -(2x+3)/(2y-4)`

Explanation:

`x^2+y^2+3x-4y=9`

Using implicit differentiation:
`2x+2ydy/dx+3-4dy/dx=0`

`(2y-4)dy/dx=-2x-3`

`dy/dx= -(2x+3)/(2y-4)`