IB Maths AA 5.8 Definitions

A differentiation rule for a composite function, used in implicit differentiation so that differentiating a term in $y$ introduces a factor of $\frac{dy}{dx}$, for example $\frac{d}{dx}\bigl(y^2\bigr)=2y\frac{dy}{dx}$.

A method for differentiating an equation that is not written as $y=f(x)$ by differentiating both sides with respect to $x$ while treating $y$ as a function of $x$ and applying the chain rule.

A line through a point on a curve that is perpendicular to the tangent at that point, with gradient equal to the negative reciprocal of the tangent gradient.

Describes a point on a graph where the gradient is zero, so it occurs when $f'(x)=0$.