Equations involving Radians

Equations involving Radians

Find the derivative of each of the following:

  1. \(y = 3x^2 - \tan\left( \frac{\pi}{3} - \frac{x}{3} \right)\)
  2. \(\mathrm{f}(x) = 7x^3 - 2\cos\left( \frac{\pi}{5}x - 3 \right)\)
  3. \(\mathrm{f}(x) = 4\cos x \sin 3x\)

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Answer:(a) \(6x+\frac13\sec^2(\frac{\pi}{3}-\frac{x}{3})\) (b) \(21x^2+\frac{2\pi}{5}\sin(\frac{\pi}{5}x-3)\) (c) \(12\cos x\cos(3x)-4\sin x\sin(3x)\)

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