Chain Rule (AQA A-Level Mathematics): Flashcards

Differentiate composite functions (function within function)

$\frac{dy}{dx} = f'(g(x)) \cdot g'(x)$

$\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}$

$e^x$

$\frac{1}{x}$

$3\cos(3x)$

Function wrapped within another function (not just multiplication)

$f'(g(h(x))) \cdot g'(h(x)) \cdot h'(x)$

Differentiate outer, multiply by inner derivative

$2xe^{x^2+2}$