Further Differentiation & Integration Techniques

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.