Производная 11/asin(x)^(2)

Вы ввели

   11   
--------
    2   
asin (x)

$$\frac{11}{\operatorname{asin}^{2}{\left (x \right )}}$$

Первая производная

        -22         
--------------------
   ________         
  /      2      3   
\/  1 - x  *asin (x)

$$- \frac{22}{\sqrt{- x^{2} + 1} \operatorname{asin}^{3}{\left (x \right )}}$$

Вторая производная

    /     x                3        \
-22*|----------- + -----------------|
    |        3/2   /      2\        |
    |/     2\      \-1 + x /*asin(x)|
    \\1 - x /                       /
-------------------------------------
                   3                 
               asin (x)              

$$- \frac{1}{\operatorname{asin}^{3}{\left (x \right )}} \left(\frac{22 x}{\left(- x^{2} + 1\right)^{\frac{3}{2}}} + \frac{66}{\left(x^{2} - 1\right) \operatorname{asin}{\left (x \right )}}\right)$$

Третья производная

   /                                              2                        \
   |       1                 12                3*x              9*x        |
22*|- ----------- - -------------------- - ----------- + ------------------|
   |          3/2           3/2                    5/2            2        |
   |  /     2\      /     2\        2      /     2\      /      2\         |
   \  \1 - x /      \1 - x /   *asin (x)   \1 - x /      \-1 + x / *asin(x)/
----------------------------------------------------------------------------
                                      3                                     
                                  asin (x)                                  

$$\frac{1}{\operatorname{asin}^{3}{\left (x \right )}} \left(- \frac{66 x^{2}}{\left(- x^{2} + 1\right)^{\frac{5}{2}}} + \frac{198 x}{\left(x^{2} - 1\right)^{2} \operatorname{asin}{\left (x \right )}} - \frac{22}{\left(- x^{2} + 1\right)^{\frac{3}{2}}} - \frac{264}{\left(- x^{2} + 1\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left (x \right )}}\right)$$