Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

Find the derivative of each of the following:

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

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Answer:(a) \(-5\sin x-7\sin(7x)-3\cos(3x)\) (b) \(4\cos(4x)+6x\) (c) \(6(12x^2-1)\cos(4x^3-x)-24x\sec^2(3x^2)\)

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