Derivar con la regla del producto $\frac{d}{dx}\left(\ln\left(\mathrm{tanh}\left(\frac{x}{2}\right)\right)\right)$

$\frac{d}{dx}\left(\ln\left(\sinh\left(10x\right)\right)\right)$

$\frac{d}{dx}\left(2x^3\tanh\left(\frac{1}{x^2}\right)\right)$

$\frac{d}{dx}\left(\ln\left(\mathrm{sech}\left(3x+8\right)\right)\right)$

$\frac{d}{dx}\sin\left(x\right)\cos\left(x\right)$

$\frac{d}{dx}\left(ln\left(cos\left(x\right)\right)\right)$

$\frac{d}{dx}\left(x\sqrt{x^2-1}\right)$

$\frac{d}{dx}\ln\left(x^2\right)$