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y=1/4*ln*((x-1)/(x+1))-1/2arctg(x)
Derivada de la función/ y=1/4*ln*((x-1)/(x+1))-1/2arctg(x)

Derivada de y=1/4*ln*((x-1)/(x+1))-1/2arctg(x)

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

Ha introducido [src] 
   /x - 1\          
log|-----|          
   \x + 1/   atan(x)
---------- - -------
    4           2
log⁡(x−1x+1)4−atan⁡(x)2\frac{\log{\left(\frac{x - 1}{x + 1} \right)}}{4} - \frac{\operatorname{atan}{\left(x \right)}}{2} 
log((x - 1)/(x + 1))/4 - atan(x)/2
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                       /  1      x - 1  \
               (x + 1)*|----- - --------|
                       |x + 1          2|
      1                \        (x + 1) /
- ---------- + --------------------------
    /     2\           4*(x - 1)         
  2*\1 + x /
−12(x2+1)+(x+1)(−x−1(x+1)2+1x+1)4(x−1)- \frac{1}{2 \left(x^{2} + 1\right)} + \frac{\left(x + 1\right) \left(- \frac{x - 1}{\left(x + 1\right)^{2}} + \frac{1}{x + 1}\right)}{4 \left(x - 1\right)}
Simplificar
Segunda derivada [src] 
                 -1 + x           -1 + x    
            -1 + ------      -1 + ------    
    x            1 + x            1 + x     
--------- + ----------- + ------------------
        2             2   4*(1 + x)*(-1 + x)
/     2\    4*(-1 + x)                      
\1 + x /
x(x2+1)2+x−1x+1−14(x−1)(x+1)+x−1x+1−14(x−1)2\frac{x}{\left(x^{2} + 1\right)^{2}} + \frac{\frac{x - 1}{x + 1} - 1}{4 \left(x - 1\right) \left(x + 1\right)} + \frac{\frac{x - 1}{x + 1} - 1}{4 \left(x - 1\right)^{2}}
Simplificar
Tercera derivada [src] 
                             -1 + x            -1 + x                -1 + x    
                  2     -1 + ------       -1 + ------           -1 + ------    
    1          4*x           1 + x             1 + x                 1 + x     
--------- - --------- - ----------- - ------------------- - -------------------
        2           3             3                     2            2         
/     2\    /     2\    2*(-1 + x)    2*(1 + x)*(-1 + x)    2*(1 + x) *(-1 + x)
\1 + x /    \1 + x /
−4x2(x2+1)3+1(x2+1)2−x−1x+1−12(x−1)(x+1)2−x−1x+1−12(x−1)2(x+1)−x−1x+1−12(x−1)3- \frac{4 x^{2}}{\left(x^{2} + 1\right)^{3}} + \frac{1}{\left(x^{2} + 1\right)^{2}} - \frac{\frac{x - 1}{x + 1} - 1}{2 \left(x - 1\right) \left(x + 1\right)^{2}} - \frac{\frac{x - 1}{x + 1} - 1}{2 \left(x - 1\right)^{2} \left(x + 1\right)} - \frac{\frac{x - 1}{x + 1} - 1}{2 \left(x - 1\right)^{3}}
Simplificar
Gráfico
Derivada de y=1/4*ln*((x-1)/(x+1))-1/2arctg(x)
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