Implicit Differentiation (Leaving Cert Mathematics): Quizzes

Finding derivatives when $y$ is not isolated

Differentiate both sides with respect to $x$

Chain rule

Collect $\frac{dy}{dx}$ terms on one side

Solve for $\frac{dy}{dx}$

$2y\frac{dy}{dx}$

$\frac{-x}{y}$

$2x + 2y\frac{dy}{dx} = 0$

$\frac{6y - 3x^2}{3y^2 - 6x}$

Product rule