Производная cosh(sinh(x))

Вы ввели

cosh(sinh(x))

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

Первая производная

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

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

Вторая производная

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

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

Третья производная

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

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