Find the derivative of each of the following: $y = \sin^3(2x^2 - \pi)$ \(y = \mathrm{cosec}^3(\pi

Question

Find the derivative of each of the following: $y = \sin^3(2x^2 - \pi)$ $y = \mathrm{cosec}^3(\pi x^4 + 1) - 3x^5$ $\mathrm{f}(x) = \sin\left(ex + \frac{\pi}{4}\right) + \cos(2x^3 - 5x)$

Accepted Answer

(a) $12x\cos(2x^2-\pi)\sin^2(2x^2-\pi)$ (b) $-12\pi x^3\csc^4(\pi x^4+1)\cos(\pi x^4+1)-15x^4$ (c) $e\cos(ex+\frac{\pi}{4})-(6x^2-5)\sin(2x^3-5x)$

Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

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