Производная sinh(sinh(sinh(x)))

Вы ввели

sinh(sinh(sinh(x)))

$$\sinh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )}$$

Первая производная

cosh(x)*cosh(sinh(x))*cosh(sinh(sinh(x)))

$$\cosh{\left (x \right )} \cosh{\left (\sinh{\left (x \right )} \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )}$$

Вторая производная

    2        2                                    2                                                                                 
cosh (x)*cosh (sinh(x))*sinh(sinh(sinh(x))) + cosh (x)*cosh(sinh(sinh(x)))*sinh(sinh(x)) + cosh(sinh(x))*cosh(sinh(sinh(x)))*sinh(x)

$$\sinh{\left (x \right )} \cosh{\left (\sinh{\left (x \right )} \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} + \sinh{\left (\sinh{\left (x \right )} \right )} \cosh^{2}{\left (x \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} + \sinh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} \cosh^{2}{\left (x \right )} \cosh^{2}{\left (\sinh{\left (x \right )} \right )}$$

Третья производная

/                                        2        3                                    2                                              2                                                                                            2                                                   \        
\cosh(sinh(x))*cosh(sinh(sinh(x))) + cosh (x)*cosh (sinh(x))*cosh(sinh(sinh(x))) + cosh (x)*cosh(sinh(x))*cosh(sinh(sinh(x))) + 3*cosh (sinh(x))*sinh(x)*sinh(sinh(sinh(x))) + 3*cosh(sinh(sinh(x)))*sinh(x)*sinh(sinh(x)) + 3*cosh (x)*cosh(sinh(x))*sinh(sinh(x))*sinh(sinh(sinh(x)))/*cosh(x)

$$\left(3 \sinh{\left (x \right )} \sinh{\left (\sinh{\left (x \right )} \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} + 3 \sinh{\left (x \right )} \sinh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} \cosh^{2}{\left (\sinh{\left (x \right )} \right )} + 3 \sinh{\left (\sinh{\left (x \right )} \right )} \sinh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} \cosh^{2}{\left (x \right )} \cosh{\left (\sinh{\left (x \right )} \right )} + \cosh^{2}{\left (x \right )} \cosh^{3}{\left (\sinh{\left (x \right )} \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} + \cosh^{2}{\left (x \right )} \cosh{\left (\sinh{\left (x \right )} \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )} + \cosh{\left (\sinh{\left (x \right )} \right )} \cosh{\left (\sinh{\left (\sinh{\left (x \right )} \right )} \right )}\right) \cosh{\left (x \right )}$$