Question

How do you implicitly differentiate `x y + 2x + 3x^2 = 4`?

Answer 1

You can do it like this:

Explanation:

`xy+2x+3x^2=4`

`:.D(xy+2x+3x^2)=D(4)`

`:.xy'+y+2+6x=0`

`:.-xy'=6x+2+y`

`:.y'=-((6x+2+y))/(x)`