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(x*sh(x))/(x-1)
Derivada de la función/ sh(x)/ (x-1)/ (x*sh(x))/(x-1)

Derivada de (x*sh(x))/(x-1)

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

Ha introducido [src] 
x*sinh(x)
---------
  x - 1
xsinh⁡(x)x−1\frac{x \sinh{\left(x \right)}}{x - 1} 
(x*sinh(x))/(x - 1)
Gráfica
02468-8-6-4-2-1010-2000020000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
x*cosh(x) + sinh(x)   x*sinh(x)
------------------- - ---------
       x - 1                  2
                       (x - 1)
−xsinh⁡(x)(x−1)2+xcosh⁡(x)+sinh⁡(x)x−1- \frac{x \sinh{\left(x \right)}}{\left(x - 1\right)^{2}} + \frac{x \cosh{\left(x \right)} + \sinh{\left(x \right)}}{x - 1}
Simplificar
Segunda derivada [src] 
                        2*(x*cosh(x) + sinh(x))   2*x*sinh(x)
2*cosh(x) + x*sinh(x) - ----------------------- + -----------
                                 -1 + x                    2 
                                                   (-1 + x)  
-------------------------------------------------------------
                            -1 + x
xsinh⁡(x)+2xsinh⁡(x)(x−1)2+2cosh⁡(x)−2(xcosh⁡(x)+sinh⁡(x))x−1x−1\frac{x \sinh{\left(x \right)} + \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right)^{2}} + 2 \cosh{\left(x \right)} - \frac{2 \left(x \cosh{\left(x \right)} + \sinh{\left(x \right)}\right)}{x - 1}}{x - 1}
Simplificar
Tercera derivada [src] 
                        3*(2*cosh(x) + x*sinh(x))   6*(x*cosh(x) + sinh(x))   6*x*sinh(x)
3*sinh(x) + x*cosh(x) - ------------------------- + ----------------------- - -----------
                                  -1 + x                           2                   3 
                                                           (-1 + x)            (-1 + x)  
-----------------------------------------------------------------------------------------
                                          -1 + x
xcosh⁡(x)−6xsinh⁡(x)(x−1)3+3sinh⁡(x)−3(xsinh⁡(x)+2cosh⁡(x))x−1+6(xcosh⁡(x)+sinh⁡(x))(x−1)2x−1\frac{x \cosh{\left(x \right)} - \frac{6 x \sinh{\left(x \right)}}{\left(x - 1\right)^{3}} + 3 \sinh{\left(x \right)} - \frac{3 \left(x \sinh{\left(x \right)} + 2 \cosh{\left(x \right)}\right)}{x - 1} + \frac{6 \left(x \cosh{\left(x \right)} + \sinh{\left(x \right)}\right)}{\left(x - 1\right)^{2}}}{x - 1}
Simplificar
Gráfico
Derivada de (x*sh(x))/(x-1)
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