Question

How do you implicitly differentiate `-1=5y^3x-2xy+3x^4y`?

Answer 1

Differentiate both sides of the equation with respect to `x`:

`0 = 15xy^2dy/dx +5y^3 -2xdy/dx -2y +3x^4dy/dx +12x^3y`

`-5y^3+2y-12x^3y = dy/dx(15xy^2-2x+3x^4)`

`dy/dx = - (5y^3-2y-+2x^3y )/(15xy^2-2x+3x^4)`