Question

How do you differentiate `(x^2)-2xy+y^3`?

Answer 1

`2(x+y)+dy/dx(2x+3y^2)`

Explanation:

By implicit differentiation each term differentiates to:

`d/dx(x^2)=2x`

`d/dx(2xy)=2y+2xdy/dx`

`d/dy(y^3)=3y^2dy/dx`

Combing these terms we have:

`2(x+y)+dy/dx(2x+3y^2)`