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Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

Secondary 4
  1. Differentiate \(\mathrm{f}(x) = \sin 2x \cos 2x \tan 2x\) with respect to \(x\).
  2. Differentiate \(\mathrm{g}(x) = \sin x^\circ\) with respect to \(x\).

Solution:

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Answer:(i) \(\mathrm f'(x)=2\sin4x\), for \(\cos2x\ne0\). (ii) \(\mathrm g'(x)=\dfrac\pi{180}\cos\left(\dfrac{\pi x}{180}\right)=\dfrac\pi{180}\cos x^\circ\).

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