Question

How do you differentiate `y^2-y+5=3x^2-6x+3`?

Answer 1

`dy/dx=(6(x-1))/(2y-1)`

Explanation:

Implicit differentiation is basically glorified chain rule. Whenever you differentiate a term containing `y` with respect to `x`, a `dy/dx` term will be spit out.

`d/dx[y^2-y+5=3x^2-6x+3]`

`2ydy/dx-dy/dx=6x-6`

`dy/dx(2y-1)=6(x-1)`

`dy/dx=(6(x-1))/(2y-1)`