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xsinhx/(x-i)^2
Derivada de la función/ sinhx/ x/(x-i)/ (x-i)^2/ xsinhx/(x-i)^2

Derivada de xsinhx/(x-i)^2

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Solución

Ha introducido [src] 
x*sinh(x)
---------
        2
 (x - I)
xsinh⁡(x)(x−i)2\frac{x \sinh{\left(x \right)}}{\left(x - i\right)^{2}} 
(x*sinh(x))/(x - i)^2
Gráfica
02468-8-6-4-2-10100.02-0.02
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
x*cosh(x) + sinh(x)   x*(-2*x + 2*I)*sinh(x)
------------------- + ----------------------
             2                      4       
      (x - I)                (x - I)
x(−2x+2i)sinh⁡(x)(x−i)4+xcosh⁡(x)+sinh⁡(x)(x−i)2\frac{x \left(- 2 x + 2 i\right) \sinh{\left(x \right)}}{\left(x - i\right)^{4}} + \frac{x \cosh{\left(x \right)} + \sinh{\left(x \right)}}{\left(x - i\right)^{2}}
Simplificar
Segunda derivada [src] 
                        4*(x*cosh(x) + sinh(x))   6*x*sinh(x)
2*cosh(x) + x*sinh(x) - ----------------------- + -----------
                                 x - I                     2 
                                                    (x - I)  
-------------------------------------------------------------
                                  2                          
                           (x - I)
xsinh⁡(x)+6xsinh⁡(x)(x−i)2+2cosh⁡(x)−4(xcosh⁡(x)+sinh⁡(x))x−i(x−i)2\frac{x \sinh{\left(x \right)} + \frac{6 x \sinh{\left(x \right)}}{\left(x - i\right)^{2}} + 2 \cosh{\left(x \right)} - \frac{4 \left(x \cosh{\left(x \right)} + \sinh{\left(x \right)}\right)}{x - i}}{\left(x - i\right)^{2}}
Simplificar
Tercera derivada [src] 
                        6*(2*cosh(x) + x*sinh(x))   18*(x*cosh(x) + sinh(x))   24*x*sinh(x)
3*sinh(x) + x*cosh(x) - ------------------------- + ------------------------ - ------------
                                  x - I                            2                    3  
                                                            (x - I)              (x - I)   
-------------------------------------------------------------------------------------------
                                                 2                                         
                                          (x - I)
xcosh⁡(x)−24xsinh⁡(x)(x−i)3+3sinh⁡(x)−6(xsinh⁡(x)+2cosh⁡(x))x−i+18(xcosh⁡(x)+sinh⁡(x))(x−i)2(x−i)2\frac{x \cosh{\left(x \right)} - \frac{24 x \sinh{\left(x \right)}}{\left(x - i\right)^{3}} + 3 \sinh{\left(x \right)} - \frac{6 \left(x \sinh{\left(x \right)} + 2 \cosh{\left(x \right)}\right)}{x - i} + \frac{18 \left(x \cosh{\left(x \right)} + \sinh{\left(x \right)}\right)}{\left(x - i\right)^{2}}}{\left(x - i\right)^{2}}
Simplificar
Gráfico
Derivada de xsinhx/(x-i)^2
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