Question
Differentiate the following w.r.t. x:
$\cos ^{-1}\left(\frac{\sqrt{1+x}-\sqrt{1-x}}{2}\right)$
$\cos ^{-1}\left(\frac{\sqrt{1+x}-\sqrt{1-x}}{2}\right)$
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$e^{-x} \cos 2 x$
$a^2$. Show that the maximum volume of the box is $\frac{a^3}{6 \sqrt{3}}$.
respectively, referred to the origin $\mathrm{O}$. Find, in terms of $\bar{a}$ and $\bar{b}$ the position vectors of $\mathrm{C}, \mathrm{D}$
and E.