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(п-2arctgx)lnx
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Derivada de (п-2arctgx)lnx

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Ha introducido [src] 
(pi - 2*acot(x))*log(x)
(π−2acot⁡(x))log⁡(x)\left(\pi - 2 \operatorname{acot}{\left(x \right)}\right) \log{\left(x \right)} 
(pi - 2*acot(x))*log(x)
Gráfica
02468-8-6-4-2-1010-1010
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Trazar el gráfico f'(x)
Primera derivada [src] 
pi - 2*acot(x)   2*log(x)
-------------- + --------
      x                2 
                  1 + x
2log⁡(x)x2+1+π−2acot⁡(x)x\frac{2 \log{\left(x \right)}}{x^{2} + 1} + \frac{\pi - 2 \operatorname{acot}{\left(x \right)}}{x}
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Segunda derivada [src] 
-pi + 2*acot(x)       4        4*x*log(x)
--------------- + ---------- - ----------
        2           /     2\           2 
       x          x*\1 + x /   /     2\  
                               \1 + x /
−4xlog⁡(x)(x2+1)2+4x(x2+1)+2acot⁡(x)−πx2- \frac{4 x \log{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{4}{x \left(x^{2} + 1\right)} + \frac{2 \operatorname{acot}{\left(x \right)} - \pi}{x^{2}}
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Tercera derivada [src] 
  /                                                /         2 \       \
  |                                                |      4*x  |       |
  |                                              2*|-1 + ------|*log(x)|
  |                                                |          2|       |
  |      6       -pi + 2*acot(x)        3          \     1 + x /       |
2*|- --------- - --------------- - ----------- + ----------------------|
  |          2           3          2 /     2\                 2       |
  |  /     2\           x          x *\1 + x /         /     2\        |
  \  \1 + x /                                          \1 + x /        /
2(2(4x2x2+1−1)log⁡(x)(x2+1)2−6(x2+1)2−3x2(x2+1)−2acot⁡(x)−πx3)2 \left(\frac{2 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right) \log{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} - \frac{6}{\left(x^{2} + 1\right)^{2}} - \frac{3}{x^{2} \left(x^{2} + 1\right)} - \frac{2 \operatorname{acot}{\left(x \right)} - \pi}{x^{3}}\right)
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Gráfico
Derivada de (п-2arctgx)lnx
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