Производная sinh(x^2)^(3)

Вы ввели

    3/ 2\
sinh \x /

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

Первая производная

        2/ 2\     / 2\
6*x*sinh \x /*cosh\x /

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

Вторая производная

  /    / 2\     / 2\      2     2/ 2\      2     2/ 2\\     / 2\
6*\cosh\x /*sinh\x / + 2*x *sinh \x / + 4*x *cosh \x //*sinh\x /

$$6 \left(2 x^{2} \sinh^{2}{\left (x^{2} \right )} + 4 x^{2} \cosh^{2}{\left (x^{2} \right )} + \sinh{\left (x^{2} \right )} \cosh{\left (x^{2} \right )}\right) \sinh{\left (x^{2} \right )}$$

Третья производная

     /      3/ 2\      2     3/ 2\         2/ 2\     / 2\       2     2/ 2\     / 2\\
12*x*\3*sinh \x / + 4*x *cosh \x / + 6*cosh \x /*sinh\x / + 14*x *sinh \x /*cosh\x //

$$12 x \left(14 x^{2} \sinh^{2}{\left (x^{2} \right )} \cosh{\left (x^{2} \right )} + 4 x^{2} \cosh^{3}{\left (x^{2} \right )} + 3 \sinh^{3}{\left (x^{2} \right )} + 6 \sinh{\left (x^{2} \right )} \cosh^{2}{\left (x^{2} \right )}\right)$$