Производная tanh(3*x)^5

Вы ввели

    5     
tanh (3*x)

$$\tanh^{5}{\left (3 x \right )}$$

Первая производная

    4      /            2     \
tanh (3*x)*\15 - 15*tanh (3*x)/

$$\left(- 15 \tanh^{2}{\left (3 x \right )} + 15\right) \tanh^{4}{\left (3 x \right )}$$

Вторая производная

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

$$90 \left(\tanh^{2}{\left (3 x \right )} - 1\right) \left(3 \tanh^{2}{\left (3 x \right )} - 2\right) \tanh^{3}{\left (3 x \right )}$$

Третья производная

                                  /                                  2                                  \
         2      /         2     \ |      4          /         2     \           2      /         2     \|
-270*tanh (3*x)*\-1 + tanh (3*x)/*\2*tanh (3*x) + 6*\-1 + tanh (3*x)/  + 13*tanh (3*x)*\-1 + tanh (3*x)//

$$- 270 \left(\tanh^{2}{\left (3 x \right )} - 1\right) \left(6 \left(\tanh^{2}{\left (3 x \right )} - 1\right)^{2} + 13 \left(\tanh^{2}{\left (3 x \right )} - 1\right) \tanh^{2}{\left (3 x \right )} + 2 \tanh^{4}{\left (3 x \right )}\right) \tanh^{2}{\left (3 x \right )}$$