$\frac{x^{\sin x}\left(\frac{\sin x}{x}+\cos x \cdot \log x\right)}{(\sin x)^x(x \cdot \cot x+\log \sin x)}$

$\frac{(\sin x)^x(x \cot x+\log \sin x)}{x^{\sin x}\left(\frac{\sin x}{x}+\cos x \cdot \log x\right)}$

$y\left(\frac{\sin x}{x}+\cos x \log x\right)$

$(\sin x)^x(x \cot x+\log \sin x)$

$2 y_2{ }^3$

$3 y_2{ }^2$

$y_2{ }^2$

$3 y_3{ }^2$

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

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

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

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

$\frac{-2}{3}$

$\frac{-4}{3}$

$\frac{8}{3}$

4