Производная -2/cosh(x)

Вы ввели

  -2   
-------
cosh(x)

$$- \frac{2}{\cosh{\left (x \right )}}$$

Первая производная

2*sinh(x)
---------
     2   
 cosh (x)

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

Вторая производная

  /          2   \
  |    2*sinh (x)|
2*|1 - ----------|
  |         2    |
  \     cosh (x) /
------------------
     cosh(x)      

$$\frac{1}{\cosh{\left (x \right )}} \left(- \frac{4 \sinh^{2}{\left (x \right )}}{\cosh^{2}{\left (x \right )}} + 2\right)$$

Третья производная

  /           2   \        
  |     6*sinh (x)|        
2*|-5 + ----------|*sinh(x)
  |          2    |        
  \      cosh (x) /        
---------------------------
              2            
          cosh (x)         

$$\frac{2 \sinh{\left (x \right )}}{\cosh^{2}{\left (x \right )}} \left(\frac{6 \sinh^{2}{\left (x \right )}}{\cosh^{2}{\left (x \right )}} - 5\right)$$