Производная cosh(x)^(5)

Вы ввели

    5   
cosh (x)

$$\cosh^{5}{\left (x \right )}$$

Первая производная

      4           
5*cosh (x)*sinh(x)

$$5 \sinh{\left (x \right )} \cosh^{4}{\left (x \right )}$$

Вторая производная

      3    /    2            2   \
5*cosh (x)*\cosh (x) + 4*sinh (x)/

$$5 \left(4 \sinh^{2}{\left (x \right )} + \cosh^{2}{\left (x \right )}\right) \cosh^{3}{\left (x \right )}$$

Третья производная

      2    /       2             2   \        
5*cosh (x)*\12*sinh (x) + 13*cosh (x)/*sinh(x)

$$5 \left(12 \sinh^{2}{\left (x \right )} + 13 \cosh^{2}{\left (x \right )}\right) \sinh{\left (x \right )} \cosh^{2}{\left (x \right )}$$