Find the derivative of each of the following, $\mathrm{f}(x) = \sqrt{(4x^2 + 2)^3}$ \(\mathrm{f}(x

Question

Find the derivative of each of the following, $\mathrm{f}(x) = \sqrt{(4x^2 + 2)^3}$ $\mathrm{f}(x) = \sqrt{x + \frac{1}{x}}$ $\frac{1}{(x^2 + 2)^3}$

Accepted Answer

(a) $12x\sqrt{4x^2+2}$ (b) $\frac12(x+\frac1x)^{-1/2}(1-\frac1{x^2})$ (c) $-6x(x^2+2)^{-4}$

Differentiation