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

Derivada de (x+ln(x))*arctg(x)

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

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Solución

Ha introducido [src] 
(x + log(x))*atan(x)
(x+log⁡(x))atan⁡(x)\left(x + \log{\left(x \right)}\right) \operatorname{atan}{\left(x \right)} 
(x + log(x))*atan(x)
Gráfica
02468-8-6-4-2-1010-2020
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
x + log(x)   /    1\        
---------- + |1 + -|*atan(x)
       2     \    x/        
  1 + x
(1+1x)atan⁡(x)+x+log⁡(x)x2+1\left(1 + \frac{1}{x}\right) \operatorname{atan}{\left(x \right)} + \frac{x + \log{\left(x \right)}}{x^{2} + 1}
Simplificar
Segunda derivada [src] 
              /    1\                   
            2*|1 + -|                   
  atan(x)     \    x/   2*x*(x + log(x))
- ------- + --------- - ----------------
      2            2               2    
     x        1 + x        /     2\     
                           \1 + x /
−2x(x+log⁡(x))(x2+1)2+2(1+1x)x2+1−atan⁡(x)x2- \frac{2 x \left(x + \log{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}} + \frac{2 \left(1 + \frac{1}{x}\right)}{x^{2} + 1} - \frac{\operatorname{atan}{\left(x \right)}}{x^{2}}
Simplificar
Tercera derivada [src] 
                                            /         2 \             
                                            |      4*x  |             
                                /    1\   2*|-1 + ------|*(x + log(x))
                            6*x*|1 + -|     |          2|             
       3        2*atan(x)       \    x/     \     1 + x /             
- ----------- + --------- - ----------- + ----------------------------
   2 /     2\        3               2                     2          
  x *\1 + x /       x        /     2\              /     2\           
                             \1 + x /              \1 + x /
−6x(1+1x)(x2+1)2+2(x+log⁡(x))(4x2x2+1−1)(x2+1)2−3x2(x2+1)+2atan⁡(x)x3- \frac{6 x \left(1 + \frac{1}{x}\right)}{\left(x^{2} + 1\right)^{2}} + \frac{2 \left(x + \log{\left(x \right)}\right) \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}} - \frac{3}{x^{2} \left(x^{2} + 1\right)} + \frac{2 \operatorname{atan}{\left(x \right)}}{x^{3}}
Simplificar
Gráfico
Derivada de (x+ln(x))*arctg(x)
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