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xsinh(x)/(x+1)^2
Derivada de la función/ (x+1)/ sinh(x)/ xsinh(x)/(x+1)^2

Derivada de xsinh(x)/(x+1)^2

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

Gráfico:

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Solución

Ha introducido [src] 
x*sinh(x)
---------
        2
 (x + 1)
$$\frac{x \sinh{\left(x \right)}}{\left(x + 1\right)^{2}}$$ 
(x*sinh(x))/(x + 1)^2
Gráfica
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
x*cosh(x) + sinh(x)   x*(-2 - 2*x)*sinh(x)
------------------- + --------------------
             2                     4      
      (x + 1)               (x + 1)
$$\frac{x \left(- 2 x - 2\right) \sinh{\left(x \right)}}{\left(x + 1\right)^{4}} + \frac{x \cosh{\left(x \right)} + \sinh{\left(x \right)}}{\left(x + 1\right)^{2}}$$
Simplificar
Segunda derivada [src] 
                        4*(x*cosh(x) + sinh(x))   6*x*sinh(x)
2*cosh(x) + x*sinh(x) - ----------------------- + -----------
                                 1 + x                     2 
                                                    (1 + x)  
-------------------------------------------------------------
                                  2                          
                           (1 + x)
$$\frac{x \sinh{\left(x \right)} + \frac{6 x \sinh{\left(x \right)}}{\left(x + 1\right)^{2}} + 2 \cosh{\left(x \right)} - \frac{4 \left(x \cosh{\left(x \right)} + \sinh{\left(x \right)}\right)}{x + 1}}{\left(x + 1\right)^{2}}$$
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) - ------------------------- + ------------------------ - ------------
                                  1 + x                            2                    3  
                                                            (1 + x)              (1 + x)   
-------------------------------------------------------------------------------------------
                                                 2                                         
                                          (1 + x)
$$\frac{x \cosh{\left(x \right)} - \frac{24 x \sinh{\left(x \right)}}{\left(x + 1\right)^{3}} + 3 \sinh{\left(x \right)} - \frac{6 \left(x \sinh{\left(x \right)} + 2 \cosh{\left(x \right)}\right)}{x + 1} + \frac{18 \left(x \cosh{\left(x \right)} + \sinh{\left(x \right)}\right)}{\left(x + 1\right)^{2}}}{\left(x + 1\right)^{2}}$$
Simplificar
Gráfico
Derivada de xsinh(x)/(x+1)^2
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