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LearnEdexcelYMA012018 specificationWMA14 · Pure Mathematics 4Differentiation

WMA14 · Module

Differentiation

2 subtopics≈ 85 min in total

Start the module: Implicit differentiation Open graphing calculator

Implicit differentiation
Differentiating curves like $x^2+xy+y^2=12$ that can't easily be written as $y=\ldots$ : differentiate every term with respect to $x$ , remembering that $y$ terms pick up a factor $\dfrac{dy}{dx}$ .
≈ 45 min
Parametric differentiation
Curves described by a third variable $t$ : $x=f(t)$ , $y=g(t)$ . How to find their gradient with $\dfrac{dy}{dx}=\dfrac{dy/dt}{dx/dt}$ , and how to find tangents and special points.
≈ 40 min