Edexcel ·Mathematics·Cambridge AS & A Level Mathematics

Further Differentiation & Integration Techniques

16 min read

Differentiating trig functions, implicit and parametric differentiation, and integration by substitution and by parts.

Derivatives of trigonometric functions

$\frac{d}{dx}(\sin x) = \cos x, \quad \frac{d}{dx}(\cos x) = -\sin x, \quad \frac{d}{dx}(\tan x) = \sec^2 x$

(angles in radians). With the chain rule, $\dfrac{d}{dx}\sin(ax) = a\cos(ax)$ , and so on.

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Edexcel ·Mathematics·Cambridge AS & A Level Mathematics

16 min read

Differentiating trig functions, implicit and parametric differentiation, and integration by substitution and by parts.

$\frac{d}{dx}(\sin x) = \cos x, \quad \frac{d}{dx}(\cos x) = -\sin x, \quad \frac{d}{dx}(\tan x) = \sec^2 x$

(angles in radians). With the chain rule, $\dfrac{d}{dx}\sin(ax) = a\cos(ax)$ , and so on.

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