$2 y_2{ }^3$

$3 y_2{ }^2$

$y_2{ }^2$

$3 y_3{ }^2$

$\frac{d}{d x}\left[\sec ^{-1}(\cosh x)\right]=\operatorname{sech} x$

$\frac{d}{d x}\left[\cos ^{-1}(\operatorname{sech} x)\right]=\operatorname{sech} x$

$\frac{d}{d x}\left[\tan ^{-1}(\sinh x)\right]=\operatorname{sech} x$

$\frac{d}{d x}\left[\tan ^{-1}\left(\tan \frac{x}{2}\right)\right]=\sec x$

$\frac{-2}{3}$

$\frac{-4}{3}$

$\frac{8}{3}$

4

$\frac{-\sec ^2(\log x)[1+2 \tan x]}{x^2}$

$\frac{\sec ^2(\log x)[1+\tan (\log x)]}{x^2}$

$\frac{\sec (\log x)[2 \tan (\log x)-1]}{x^2}$

$\frac{\sec ^2(\log x)[2 \tan (\log x)-1]}{x^2}$