Connected Rates of Change (AQA A-Level Mathematics): Flashcards

Problems where 2+ quantities change & rates relate via equation

Identify quantities changing with respect to time

Differentiate equation w.r.t. time (implicit differentiation)

$\frac{dy}{dx} \times \frac{dx}{dt}$

Positive

Negative

$2\pi r$

$2\pi$

Implicit differentiation

$V = \frac{1}{3}\pi r^2 h$