Производная (sinh(x)^(2)^3)

Вы ввели

    8   
sinh (x)

$$\sinh^{8}{\left (x \right )}$$

Первая производная

      7           
8*sinh (x)*cosh(x)

$$8 \sinh^{7}{\left (x \right )} \cosh{\left (x \right )}$$

Вторая производная

      6    /    2            2   \
8*sinh (x)*\sinh (x) + 7*cosh (x)/

$$8 \left(\sinh^{2}{\left (x \right )} + 7 \cosh^{2}{\left (x \right )}\right) \sinh^{6}{\left (x \right )}$$

Третья производная

       5    /       2             2   \        
16*sinh (x)*\11*sinh (x) + 21*cosh (x)/*cosh(x)

$$16 \left(11 \sinh^{2}{\left (x \right )} + 21 \cosh^{2}{\left (x \right )}\right) \sinh^{5}{\left (x \right )} \cosh{\left (x \right )}$$