Edexcel ·Mathematics·Cambridge AS & A Level Mathematics

Differentiation

16 min read

The derivative, the power, chain, product and quotient rules, tangents and normals, and stationary points.

The derivative

The derivative $\dfrac{dy}{dx}$ gives the gradient of the curve at each point. For powers:

$\frac{d}{dx}(x^n) = nx^{n-1}$

Differentiate term by term; constants differentiate to zero.

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Edexcel ·Mathematics·Cambridge AS & A Level Mathematics

16 min read

The derivative, the power, chain, product and quotient rules, tangents and normals, and stationary points.

The derivative $\dfrac{dy}{dx}$ gives the gradient of the curve at each point. For powers:

$\frac{d}{dx}(x^n) = nx^{n-1}$

Differentiate term by term; constants differentiate to zero.

Create a free account to read this note in full. Every free account gets 2 complete revision notes — no card needed.