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

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Solución

Ha introducido [src] 
atan(x)*(x + 1)
---------------
     x - 1
(x+1)atan⁡(x)x−1\frac{\left(x + 1\right) \operatorname{atan}{\left(x \right)}}{x - 1} 
(atan(x)*(x + 1))/(x - 1)
Gráfica
02468-8-6-4-2-1010-250250
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Trazar el gráfico f'(x)
Primera derivada [src] 
x + 1                             
------ + atan(x)                  
     2                            
1 + x              (x + 1)*atan(x)
---------------- - ---------------
     x - 1                    2   
                       (x - 1)
x+1x2+1+atan⁡(x)x−1−(x+1)atan⁡(x)(x−1)2\frac{\frac{x + 1}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}}{x - 1} - \frac{\left(x + 1\right) \operatorname{atan}{\left(x \right)}}{\left(x - 1\right)^{2}}
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Segunda derivada [src] 
  /       x*(1 + x)   1 + x                             \
  |  -1 + ---------   ------ + atan(x)                  |
  |              2         2                            |
  |         1 + x     1 + x              (1 + x)*atan(x)|
2*|- -------------- - ---------------- + ---------------|
  |           2            -1 + x                   2   |
  \      1 + x                              (-1 + x)    /
---------------------------------------------------------
                          -1 + x
2(−x(x+1)x2+1−1x2+1−x+1x2+1+atan⁡(x)x−1+(x+1)atan⁡(x)(x−1)2)x−1\frac{2 \left(- \frac{\frac{x \left(x + 1\right)}{x^{2} + 1} - 1}{x^{2} + 1} - \frac{\frac{x + 1}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}}{x - 1} + \frac{\left(x + 1\right) \operatorname{atan}{\left(x \right)}}{\left(x - 1\right)^{2}}\right)}{x - 1}
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Tercera derivada [src] 
  /                /         2 \                                                                \
  |                |      4*x  |     /1 + x           \                         /     x*(1 + x)\|
  |  3*x - (1 + x)*|-1 + ------|   3*|------ + atan(x)|                       3*|-1 + ---------||
  |                |          2|     |     2          |                         |            2 ||
  |                \     1 + x /     \1 + x           /   3*(1 + x)*atan(x)     \       1 + x  /|
2*|- --------------------------- + -------------------- - ----------------- + ------------------|
  |                   2                         2                     3       /     2\          |
  |           /     2\                  (-1 + x)              (-1 + x)        \1 + x /*(-1 + x) |
  \           \1 + x /                                                                          /
-------------------------------------------------------------------------------------------------
                                              -1 + x
2(−3x−(x+1)(4x2x2+1−1)(x2+1)2+3(x(x+1)x2+1−1)(x−1)(x2+1)+3(x+1x2+1+atan⁡(x))(x−1)2−3(x+1)atan⁡(x)(x−1)3)x−1\frac{2 \left(- \frac{3 x - \left(x + 1\right) \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{3 \left(\frac{x \left(x + 1\right)}{x^{2} + 1} - 1\right)}{\left(x - 1\right) \left(x^{2} + 1\right)} + \frac{3 \left(\frac{x + 1}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}\right)}{\left(x - 1\right)^{2}} - \frac{3 \left(x + 1\right) \operatorname{atan}{\left(x \right)}}{\left(x - 1\right)^{3}}\right)}{x - 1}
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Gráfico
Derivada de y=(arctg)*(x+1)/(x-1)
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