Производная acot(x)^(95)

Вы ввели

    95   
acot  (x)

$$\operatorname{acot}^{95}{\left (x \right )}$$

Первая производная

        94   
-95*acot  (x)
-------------
         2   
    1 + x    

$$- \frac{95 \operatorname{acot}^{94}{\left (x \right )}}{x^{2} + 1}$$

Вторая производная

        93                    
190*acot  (x)*(47 + x*acot(x))
------------------------------
                  2           
          /     2\            
          \1 + x /            

$$\frac{190 \operatorname{acot}^{93}{\left (x \right )}}{\left(x^{2} + 1\right)^{2}} \left(x \operatorname{acot}{\left (x \right )} + 47\right)$$

Третья производная

              /                                       2     2   \
        92    |    2       4371    282*x*acot(x)   4*x *acot (x)|
190*acot  (x)*|acot (x) - ------ - ------------- - -------------|
              |                2            2               2   |
              \           1 + x        1 + x           1 + x    /
-----------------------------------------------------------------
                                    2                            
                            /     2\                             
                            \1 + x /                             

$$\frac{190 \operatorname{acot}^{92}{\left (x \right )}}{\left(x^{2} + 1\right)^{2}} \left(- \frac{4 x^{2} \operatorname{acot}^{2}{\left (x \right )}}{x^{2} + 1} - \frac{282 x \operatorname{acot}{\left (x \right )}}{x^{2} + 1} + \operatorname{acot}^{2}{\left (x \right )} - \frac{4371}{x^{2} + 1}\right)$$