Differentiation of algebraic and trigonometric expressions can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a curve.
Part ofMathsCalculus skills
Watch this video to learn about differentiating simple trigonometric equations.
This video can not be played
When differentiating trigonometric expressions, remember:
\(y = \sin x \to \frac{{dy}}{{dx}} = \cos x\)
\(y = \cos x \to \frac{{dy}}{{dx}} = - \sin x\)
Differentiate \(y = 4\cos x\)
\(\frac{{dy}}{{dx}} = - 4\sin x\)
Differentiate \(y = 3x + 2\sin x\)
\(\frac{{dy}}{{dx}} = 3 + 2\cos x\)
