Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

TGM Original Questions

Find the derivative of each of the following with respect to \(x\).

  1. \(y = 5 \cos x + \cos 7x - \sin 3x - 1\)
  2. \(y = \sin 4x + 3x^{2}\)
  3. \(y = \sin 4x - \cos 5x - 6x^{3}\)
  4. \(y = 6x^{5} - \cos 5x + 4\)

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Answer:(i) \(-5\sin x-7\sin 7x-3\cos 3x\) (ii) \(4\cos 4x+6x\) (iii) \(4\cos 4x+5\sin 5x-18x^2\) (iv) \(30x^4+5\sin 5x\)

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