Производная x^2*tanh(x)

Вы ввели

 2        
x *tanh(x)

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

Первая производная

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

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

Вторая производная

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

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

Третья производная

  /                                   2                                                              \
  |          2       2 /         2   \       2     2    /         2   \       /         2   \        |
2*\3 - 3*tanh (x) - x *\-1 + tanh (x)/  - 2*x *tanh (x)*\-1 + tanh (x)/ + 6*x*\-1 + tanh (x)/*tanh(x)/

$$2 \left(- x^{2} \left(\tanh^{2}{\left (x \right )} - 1\right)^{2} - 2 x^{2} \left(\tanh^{2}{\left (x \right )} - 1\right) \tanh^{2}{\left (x \right )} + 6 x \left(\tanh^{2}{\left (x \right )} - 1\right) \tanh{\left (x \right )} - 3 \tanh^{2}{\left (x \right )} + 3\right)$$

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