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(z*shz)/(z-1)^2
Derivada de la función/ (z-1)^2/ (z*shz)/(z-1)^2

Derivada de (z*shz)/(z-1)^2

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Solución

Ha introducido [src] 
z*sinh(z)
---------
        2
 (z - 1)
zsinh⁡(z)(z−1)2\frac{z \sinh{\left(z \right)}}{\left(z - 1\right)^{2}} 
(z*sinh(z))/(z - 1)^2
Gráfica
02468-8-6-4-2-1010-50005000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
z*cosh(z) + sinh(z)   z*(2 - 2*z)*sinh(z)
------------------- + -------------------
             2                     4     
      (z - 1)               (z - 1)
z(2−2z)sinh⁡(z)(z−1)4+zcosh⁡(z)+sinh⁡(z)(z−1)2\frac{z \left(2 - 2 z\right) \sinh{\left(z \right)}}{\left(z - 1\right)^{4}} + \frac{z \cosh{\left(z \right)} + \sinh{\left(z \right)}}{\left(z - 1\right)^{2}}
Simplificar
Segunda derivada [src] 
                        4*(z*cosh(z) + sinh(z))   6*z*sinh(z)
2*cosh(z) + z*sinh(z) - ----------------------- + -----------
                                 -1 + z                    2 
                                                   (-1 + z)  
-------------------------------------------------------------
                                  2                          
                          (-1 + z)
zsinh⁡(z)+6zsinh⁡(z)(z−1)2+2cosh⁡(z)−4(zcosh⁡(z)+sinh⁡(z))z−1(z−1)2\frac{z \sinh{\left(z \right)} + \frac{6 z \sinh{\left(z \right)}}{\left(z - 1\right)^{2}} + 2 \cosh{\left(z \right)} - \frac{4 \left(z \cosh{\left(z \right)} + \sinh{\left(z \right)}\right)}{z - 1}}{\left(z - 1\right)^{2}}
Simplificar
Tercera derivada [src] 
                        6*(2*cosh(z) + z*sinh(z))   18*(z*cosh(z) + sinh(z))   24*z*sinh(z)
3*sinh(z) + z*cosh(z) - ------------------------- + ------------------------ - ------------
                                  -1 + z                           2                    3  
                                                           (-1 + z)             (-1 + z)   
-------------------------------------------------------------------------------------------
                                                 2                                         
                                         (-1 + z)
zcosh⁡(z)−24zsinh⁡(z)(z−1)3+3sinh⁡(z)−6(zsinh⁡(z)+2cosh⁡(z))z−1+18(zcosh⁡(z)+sinh⁡(z))(z−1)2(z−1)2\frac{z \cosh{\left(z \right)} - \frac{24 z \sinh{\left(z \right)}}{\left(z - 1\right)^{3}} + 3 \sinh{\left(z \right)} - \frac{6 \left(z \sinh{\left(z \right)} + 2 \cosh{\left(z \right)}\right)}{z - 1} + \frac{18 \left(z \cosh{\left(z \right)} + \sinh{\left(z \right)}\right)}{\left(z - 1\right)^{2}}}{\left(z - 1\right)^{2}}
Simplificar
Gráfico
Derivada de (z*shz)/(z-1)^2
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