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y=arctg(x+1)/(x-1)
Derivada de la función/ arctg/ (x-1)/ (x+1)/ y=arctg(x+1)/(x-1)

Derivada de y=arctg(x+1)/(x-1)

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
atan(x + 1)
-----------
   x - 1
atan⁡(x+1)x−1\frac{\operatorname{atan}{\left(x + 1 \right)}}{x - 1} 
atan(x + 1)/(x - 1)
Gráfica
02468-8-6-4-2-1010-200200
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          1              atan(x + 1)
---------------------- - -----------
/           2\                    2 
\1 + (x + 1) /*(x - 1)     (x - 1)
1(x−1)((x+1)2+1)−atan⁡(x+1)(x−1)2\frac{1}{\left(x - 1\right) \left(\left(x + 1\right)^{2} + 1\right)} - \frac{\operatorname{atan}{\left(x + 1 \right)}}{\left(x - 1\right)^{2}}
Simplificar
Segunda derivada [src] 
  /atan(1 + x)              1                   1 + x     \
2*|----------- - ----------------------- - ---------------|
  |         2    /           2\                          2|
  | (-1 + x)     \1 + (1 + x) /*(-1 + x)   /           2\ |
  \                                        \1 + (1 + x) / /
-----------------------------------------------------------
                           -1 + x
2(−x+1((x+1)2+1)2−1(x−1)((x+1)2+1)+atan⁡(x+1)(x−1)2)x−1\frac{2 \left(- \frac{x + 1}{\left(\left(x + 1\right)^{2} + 1\right)^{2}} - \frac{1}{\left(x - 1\right) \left(\left(x + 1\right)^{2} + 1\right)} + \frac{\operatorname{atan}{\left(x + 1 \right)}}{\left(x - 1\right)^{2}}\right)}{x - 1}
Simplificar
Tercera derivada [src] 
  /               2                                                                       \
  |      4*(1 + x)                                                                        |
  |-1 + ------------                                                                      |
  |                2                                                                      |
  |     1 + (1 + x)    3*atan(1 + x)              3                      3*(1 + x)        |
2*|----------------- - ------------- + ------------------------ + ------------------------|
  |               2              3     /           2\         2                 2         |
  | /           2\       (-1 + x)      \1 + (1 + x) /*(-1 + x)    /           2\          |
  \ \1 + (1 + x) /                                                \1 + (1 + x) / *(-1 + x)/
-------------------------------------------------------------------------------------------
                                           -1 + x
2(4(x+1)2(x+1)2+1−1((x+1)2+1)2+3(x+1)(x−1)((x+1)2+1)2+3(x−1)2((x+1)2+1)−3atan⁡(x+1)(x−1)3)x−1\frac{2 \left(\frac{\frac{4 \left(x + 1\right)^{2}}{\left(x + 1\right)^{2} + 1} - 1}{\left(\left(x + 1\right)^{2} + 1\right)^{2}} + \frac{3 \left(x + 1\right)}{\left(x - 1\right) \left(\left(x + 1\right)^{2} + 1\right)^{2}} + \frac{3}{\left(x - 1\right)^{2} \left(\left(x + 1\right)^{2} + 1\right)} - \frac{3 \operatorname{atan}{\left(x + 1 \right)}}{\left(x - 1\right)^{3}}\right)}{x - 1}
Simplificar
Gráfico
Derivada de y=arctg(x+1)/(x-1)
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