Syllabus point — Maths Interactives

Use the chain rule, if 𝑦 = 𝑓(𝑢) and 𝑢 = 𝑔(𝑥) then 𝑑𝑦 𝑑𝑥 = 𝑑𝑦 𝑑𝑢 × 𝑑𝑢 𝑑𝑥, to determine the derivative of composite functions involving power and polynomial functions.

mm-u2-t5-s1-d1

Interactive

Chain rule — two rates multiply

manipulative

Scrub x through a composite; the inner slope du/dx and the outer slope dy/du sit on linked graphs and multiply to dy/dx.

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