Derivada de y=arcctgx2

Ha introducido [src]

acot(x)*2

$$2 \operatorname{acot}{\left(x \right)}$$

acot(x)*2

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

 -2   
------
     2
1 + x

$$- \frac{2}{x^{2} + 1}$$

Simplificar

Segunda derivada [src]

   4*x   
---------
        2
/     2\ 
\1 + x /

$$\frac{4 x}{\left(x^{2} + 1\right)^{2}}$$

Simplificar

3-я производная [src]

   /         2 \
   |      4*x  |
-4*|-1 + ------|
   |          2|
   \     1 + x /
----------------
           2    
   /     2\     
   \1 + x /

$$- \frac{4 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}$$

Simplificar

Tercera derivada [src]

   /         2 \
   |      4*x  |
-4*|-1 + ------|
   |          2|
   \     1 + x /
----------------
           2    
   /     2\     
   \1 + x /

$$- \frac{4 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}$$

Simplificar

Gráfico