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

Derivada de y=arctg√((1-x)/(1+x))

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
    /    _______\
    |   / 1 - x |
atan|  /  ----- |
    \\/   1 + x /
atan⁡(1−xx+1)\operatorname{atan}{\left(\sqrt{\frac{1 - x}{x + 1}} \right)} 
atan(sqrt((1 - x)/(1 + x)))
Gráfica
02468-8-6-4-2-10102.5-2.5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
    _______                                   
   / 1 - x          /      1         1 - x   \
  /  ----- *(1 + x)*|- --------- - ----------|
\/   1 + x          |  2*(1 + x)            2|
                    \              2*(1 + x) /
----------------------------------------------
                     /    1 - x\              
             (1 - x)*|1 + -----|              
                     \    1 + x/
1−xx+1(x+1)(−1−x2(x+1)2−12(x+1))(1−x)(1−xx+1+1)\frac{\sqrt{\frac{1 - x}{x + 1}} \left(x + 1\right) \left(- \frac{1 - x}{2 \left(x + 1\right)^{2}} - \frac{1}{2 \left(x + 1\right)}\right)}{\left(1 - x\right) \left(\frac{1 - x}{x + 1} + 1\right)}
Simplificar
Segunda derivada [src] 
                 /                -1 + x\
    ____________ |           -1 + ------|
   / -(-1 + x)   |    2           1 + x |
  /  ---------- *|- ------ - -----------|
\/     1 + x     \  -1 + x      -1 + x  /
-----------------------------------------
                4*(-1 + x)
−x−1x+1(−x−1x+1−1x−1−2x−1)4(x−1)\frac{\sqrt{- \frac{x - 1}{x + 1}} \left(- \frac{\frac{x - 1}{x + 1} - 1}{x - 1} - \frac{2}{x - 1}\right)}{4 \left(x - 1\right)}
Simplificar
Tercera derivada [src] 
                 /                         2                                       \
                 |            /     -1 + x\      /     -1 + x\           -1 + x    |
    ____________ |            |-1 + ------|    3*|-1 + ------|      -1 + ------    |
   / -(-1 + x)   |    1       \     1 + x /      \     1 + x /           1 + x     |
  /  ---------- *|--------- + -------------- + --------------- + ------------------|
\/     1 + x     |        2              2                 2     4*(1 + x)*(-1 + x)|
                 \(-1 + x)     8*(-1 + x)        4*(-1 + x)                        /
------------------------------------------------------------------------------------
                                       -1 + x
−x−1x+1(x−1x+1−14(x−1)(x+1)+(x−1x+1−1)28(x−1)2+3(x−1x+1−1)4(x−1)2+1(x−1)2)x−1\frac{\sqrt{- \frac{x - 1}{x + 1}} \left(\frac{\frac{x - 1}{x + 1} - 1}{4 \left(x - 1\right) \left(x + 1\right)} + \frac{\left(\frac{x - 1}{x + 1} - 1\right)^{2}}{8 \left(x - 1\right)^{2}} + \frac{3 \left(\frac{x - 1}{x + 1} - 1\right)}{4 \left(x - 1\right)^{2}} + \frac{1}{\left(x - 1\right)^{2}}\right)}{x - 1}
Simplificar
Gráfico
Derivada de y=arctg√((1-x)/(1+x))
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