Differentiate $\mathrm{f}(x) = \sin^4 x + \cos^4 x$ with respect to $x$, leaving your answer in

Question

Differentiate $\mathrm{f}(x) = \sin^4 x + \cos^4 x$ with respect to $x$, leaving your answer in the form of $a \sin bx$, where $a$ and $b$ are constants to be determined. Differentiate $\mathrm{g}(x) = \sin^6 x + \cos^6 x$ with respect to $x$, leaving your answer in the form of $a \sin bx$, where $a$ and $b$ are constants to be determined.

Accepted Answer

(i) $-\sin 4x$ (ii) $-\frac{3}{2}\sin 4x$

Techniques of Differentiation

Techniques of Differentiation