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x^2*atanh(x)*acoth(x)

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  • Derivada de:
  • Derivada de e^(x/2) Derivada de e^(x/2)
  • Derivada de x^3*log(x) Derivada de x^3*log(x)
  • Derivada de -2x Derivada de -2x
  • Derivada de (sqrt(x)-1)/sqrt(x^2-x-1) Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)

  • Expresiones idénticas

  • x^ dos *atanh(x)*acoth(x)
  • x al cuadrado multiplicar por tangente de gente hiperbólica de (x) multiplicar por arcoco tangente de gente hiperbólica de (x)
  • x en el grado dos multiplicar por tangente de gente hiperbólica de (x) multiplicar por arcoco tangente de gente hiperbólica de (x)
  • x2*atanh(x)*acoth(x)
  • x2*atanhx*acothx
  • x²*atanh(x)*acoth(x)
  • x en el grado 2*atanh(x)*acoth(x)
  • x^2atanh(x)acoth(x)
  • x2atanh(x)acoth(x)
  • x2atanhxacothx
  • x^2atanhxacothx
Derivada de la función/ th(x)/ tanh(x)/ x^2*atanh(x)*acoth(x)

Derivada de x^2*atanh(x)*acoth(x)

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

Gráfico:

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Solución

Ha introducido [src] 
 2                  
x *atanh(x)*acoth(x)
x2atanh⁡(x)acoth⁡(x)x^{2} \operatorname{atanh}{\left(x \right)} \operatorname{acoth}{\left(x \right)} 
(x^2*atanh(x))*acoth(x)
Gráfica
02468-8-6-4-2-10100.02-0.02
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/   2                 \             2         
|  x                  |            x *atanh(x)
|------ + 2*x*atanh(x)|*acoth(x) + -----------
|     2               |                    2  
\1 - x                /               1 - x
x2atanh⁡(x)1−x2+(x21−x2+2xatanh⁡(x))acoth⁡(x)\frac{x^{2} \operatorname{atanh}{\left(x \right)}}{1 - x^{2}} + \left(\frac{x^{2}}{1 - x^{2}} + 2 x \operatorname{atanh}{\left(x \right)}\right) \operatorname{acoth}{\left(x \right)}
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Segunda derivada [src] 
  /                                               /                 x   \              \
  |                                             x*|-2*atanh(x) + -------|              |
  |/     3                         \              |                    2|    3         |
  ||    x          2*x             |              \              -1 + x /   x *atanh(x)|
2*||---------- - ------- + atanh(x)|*acoth(x) + ------------------------- + -----------|
  ||         2         2           |                           2                      2|
  ||/      2\    -1 + x            |                     -1 + x              /      2\ |
  \\\-1 + x /                      /                                         \-1 + x / /
2(x3atanh⁡(x)(x2−1)2+x(xx2−1−2atanh⁡(x))x2−1+(x3(x2−1)2−2xx2−1+atanh⁡(x))acoth⁡(x))2 \left(\frac{x^{3} \operatorname{atanh}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} + \frac{x \left(\frac{x}{x^{2} - 1} - 2 \operatorname{atanh}{\left(x \right)}\right)}{x^{2} - 1} + \left(\frac{x^{3}}{\left(x^{2} - 1\right)^{2}} - \frac{2 x}{x^{2} - 1} + \operatorname{atanh}{\left(x \right)}\right) \operatorname{acoth}{\left(x \right)}\right)
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Tercera derivada [src] 
   /             /                 /          2 \\                                                                     /          2 \         \
   |             |               2 |       4*x  ||                                      2 /                 x   \    2 |       4*x  |         |
   |             |              x *|-1 + -------||                                   3*x *|-2*atanh(x) + -------|   x *|-1 + -------|*atanh(x)|
   |             |         2       |           2||                            3           |                    2|      |           2|         |
   |             |      6*x        \     -1 + x /|              6*x        3*x            \              -1 + x /      \     -1 + x /         |
-2*|3*atanh(x) + |3 - ------- + -----------------|*acoth(x) - ------- + ---------- + ---------------------------- + --------------------------|
   |             |          2              2     |                  2            2                   2                             2          |
   |             \    -1 + x         -1 + x      /            -1 + x    /      2\              -1 + x                        -1 + x           |
   \                                                                    \-1 + x /                                                             /
-----------------------------------------------------------------------------------------------------------------------------------------------
                                                                          2                                                                    
                                                                    -1 + x
−2(3x3(x2−1)2+3x2(xx2−1−2atanh⁡(x))x2−1+x2(4x2x2−1−1)atanh⁡(x)x2−1−6xx2−1+(x2(4x2x2−1−1)x2−1−6x2x2−1+3)acoth⁡(x)+3atanh⁡(x))x2−1- \frac{2 \left(\frac{3 x^{3}}{\left(x^{2} - 1\right)^{2}} + \frac{3 x^{2} \left(\frac{x}{x^{2} - 1} - 2 \operatorname{atanh}{\left(x \right)}\right)}{x^{2} - 1} + \frac{x^{2} \left(\frac{4 x^{2}}{x^{2} - 1} - 1\right) \operatorname{atanh}{\left(x \right)}}{x^{2} - 1} - \frac{6 x}{x^{2} - 1} + \left(\frac{x^{2} \left(\frac{4 x^{2}}{x^{2} - 1} - 1\right)}{x^{2} - 1} - \frac{6 x^{2}}{x^{2} - 1} + 3\right) \operatorname{acoth}{\left(x \right)} + 3 \operatorname{atanh}{\left(x \right)}\right)}{x^{2} - 1}
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Gráfico
Derivada de x^2*atanh(x)*acoth(x)
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