Производная tanh(2*x)^(3)

Вы ввели

    3     
tanh (2*x)

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

Первая производная

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

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

Вторая производная

   /         2     \ /           2     \          
24*\-1 + tanh (2*x)/*\-1 + 2*tanh (2*x)/*tanh(2*x)

$$24 \left(\tanh^{2}{\left (2 x \right )} - 1\right) \left(2 \tanh^{2}{\left (2 x \right )} - 1\right) \tanh{\left (2 x \right )}$$

Третья производная

                      /                 2                                                \
    /         2     \ |/         2     \          4              2      /         2     \|
-48*\-1 + tanh (2*x)/*\\-1 + tanh (2*x)/  + 2*tanh (2*x) + 7*tanh (2*x)*\-1 + tanh (2*x)//

$$- 48 \left(\tanh^{2}{\left (2 x \right )} - 1\right) \left(\left(\tanh^{2}{\left (2 x \right )} - 1\right)^{2} + 7 \left(\tanh^{2}{\left (2 x \right )} - 1\right) \tanh^{2}{\left (2 x \right )} + 2 \tanh^{4}{\left (2 x \right )}\right)$$