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LearnEdexcelYMA012018 specificationWMA12 · Pure Mathematics 2Differentiation

WMA12 · Module

Differentiation

2 subtopics≈ 95 min in total

Start the module: Stationary points and increasing functions Open graphing calculator

Stationary points and increasing functions
Where a curve turns: finding stationary points with $\dfrac{dy}{dx}=0$ , deciding whether each is a maximum or minimum with the second derivative, and finding where a function is increasing or decreasing.
≈ 45 min
Optimisation and rates of change
Using derivatives to answer real questions: the largest area, the smallest surface, the cheapest design, and how fast one quantity changes when another one does.
≈ 50 min