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    Hesap Modülleri Matematica

Derivati ​​delle funzioni iperboliche

1.
$\displaystyle \frac{d}{dx}\left (\displaystyle \sinh u \right )=\displaystyle \cosh u \displaystyle \frac{du}{dx}$
2.
$\displaystyle \frac{d}{dx}\left (\displaystyle \cosh u \right )=\displaystyle \sinh u \displaystyle \frac{du}{dx}$
3.
$\displaystyle \frac{d}{dx}\left (\displaystyle \tanh u \right )=\displaystyle \text{sech}^2 u \displaystyle \frac{du}{dx}$
4.
$\displaystyle \frac{d}{dx}\left (\displaystyle \coth u \right )=\displaystyle -\text{csch}^2 u \displaystyle \frac{du}{dx}$
5.
$\displaystyle \frac{d}{dx}\left (\displaystyle \sinh^{-1} u \right )=\displaystyle \frac{1}{\displaystyle \sqrt{u^2+1}}\displaystyle \frac{du}{dx}$
6.
$\displaystyle \frac{d}{dx}\left (\displaystyle \cosh^{-1} u \right )=\displaystyle \frac{\pm 1}{\displaystyle \sqrt{u^2-1}}\displaystyle \frac{du}{dx}$
7.
$\displaystyle \frac{d}{dx}\left (\displaystyle \tanh^{-1} u \right )=\displaystyle \frac{\pm 1}{\displaystyle 1-u^2}\displaystyle \frac{du}{dx}$
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