Производная sinh(x)^(5)

Вы ввели

    5   
sinh (x)

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

d /    5   \
--\sinh (x)/
dx          

$$\frac{d}{d x} \sinh^{5}{\left(x \right)}$$

Первая производная

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

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

Вторая производная

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

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

Третья производная

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

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

График