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

Question

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

Accepted Answer

(a) $6ex\sin^2(ex^2-\pi)\cos(ex^2-\pi)$ (b) $-12\pi x^3\mathrm{cosec}^4(\pi x^4+1)\cos(\pi x^4+1)$ (c) $4x^2\sec^2x+8x\tan x$

Techniques of Differentiation - Derivatives of Trigonometric Functions