# Implicit differentiation

## Implicit differentiation

A curve C has the equation

$x^3+2xy-x-y^3-20=0$

(a) Find  $\inline&space;\frac{dy}{dx}$ in terms of x and y.

(b) Find an equation of the tangent to C at the point (3, -2), giving your answer in the form ax+by+c=0, where a, b and c are integers.

MathsTutor4You