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(x*x+1)/arctg(x)
Derivada de la función/ tg(x)/ x*x+1/ arctg/ (x*x+1)/arctg(x)

Derivada de (x*x+1)/arctg(x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
x*x + 1
-------
atan(x)
xx+1atan⁡(x)\frac{x x + 1}{\operatorname{atan}{\left(x \right)}} 
(x*x + 1)/atan(x)
Gráfica
02468-8-6-4-2-1010-200200
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
  2*x          x*x + 1     
------- - -----------------
atan(x)   /     2\     2   
          \1 + x /*atan (x)
2xatan⁡(x)−xx+1(x2+1)atan⁡2(x)\frac{2 x}{\operatorname{atan}{\left(x \right)}} - \frac{x x + 1}{\left(x^{2} + 1\right) \operatorname{atan}^{2}{\left(x \right)}}
Simplificar
Segunda derivada [src] 
  /             1                         \
  |      x + -------                      |
  |          atan(x)            2*x       |
2*|1 + ---------------- - ----------------|
  |    /     2\           /     2\        |
  \    \1 + x /*atan(x)   \1 + x /*atan(x)/
-------------------------------------------
                  atan(x)
2(−2x(x2+1)atan⁡(x)+x+1atan⁡(x)(x2+1)atan⁡(x)+1)atan⁡(x)\frac{2 \left(- \frac{2 x}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} + \frac{x + \frac{1}{\operatorname{atan}{\left(x \right)}}}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} + 1\right)}{\operatorname{atan}{\left(x \right)}}
Simplificar
Tercera derivada [src] 
  /                                                         /       1   \\
  |         2                                           6*x*|x + -------||
  |      4*x             3                 6*x              \    atan(x)/|
2*|-2 - ------ - ----------------- - ---------------- + -----------------|
  |          2   /     2\     2      /     2\                      2     |
  \     1 + x    \1 + x /*atan (x)   \1 + x /*atan(x)         1 + x      /
--------------------------------------------------------------------------
                            /     2\     2                                
                            \1 + x /*atan (x)
2(−4x2x2+1+6x(x+1atan⁡(x))x2+1−6x(x2+1)atan⁡(x)−2−3(x2+1)atan⁡2(x))(x2+1)atan⁡2(x)\frac{2 \left(- \frac{4 x^{2}}{x^{2} + 1} + \frac{6 x \left(x + \frac{1}{\operatorname{atan}{\left(x \right)}}\right)}{x^{2} + 1} - \frac{6 x}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} - 2 - \frac{3}{\left(x^{2} + 1\right) \operatorname{atan}^{2}{\left(x \right)}}\right)}{\left(x^{2} + 1\right) \operatorname{atan}^{2}{\left(x \right)}}
Simplificar
Gráfico
Derivada de (x*x+1)/arctg(x)
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