Производная tanh(x)^(3)

Вы ввели

    3   
tanh (x)

$$\tanh^{3}{\left (x \right )}$$

Первая производная

    2    /          2   \
tanh (x)*\3 - 3*tanh (x)/

$$\left(- 3 \tanh^{2}{\left (x \right )} + 3\right) \tanh^{2}{\left (x \right )}$$

Вторая производная

  /         2   \ /           2   \        
6*\-1 + tanh (x)/*\-1 + 2*tanh (x)/*tanh(x)

$$6 \left(\tanh^{2}{\left (x \right )} - 1\right) \left(2 \tanh^{2}{\left (x \right )} - 1\right) \tanh{\left (x \right )}$$

Третья производная

                   /               2                                          \
   /         2   \ |/         2   \          4            2    /         2   \|
-6*\-1 + tanh (x)/*\\-1 + tanh (x)/  + 2*tanh (x) + 7*tanh (x)*\-1 + tanh (x)//

$$- 6 \left(\tanh^{2}{\left (x \right )} - 1\right) \left(\left(\tanh^{2}{\left (x \right )} - 1\right)^{2} + 7 \left(\tanh^{2}{\left (x \right )} - 1\right) \tanh^{2}{\left (x \right )} + 2 \tanh^{4}{\left (x \right )}\right)$$