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x/(sh(x)^2)
Derivada de la función/ (x)^2/ sh(x)/ x/(sh(x)^2)

Derivada de x/(sh(x)^2)

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
   x    
--------
    2   
sinh (x)
$$\frac{x}{\sinh^{2}{\left(x \right)}}$$ 
x/sinh(x)^2
Gráfica
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   1       2*x*cosh(x)
-------- - -----------
    2            3    
sinh (x)     sinh (x)
$$- \frac{2 x \cosh{\left(x \right)}}{\sinh^{3}{\left(x \right)}} + \frac{1}{\sinh^{2}{\left(x \right)}}$$
Simplificar
Segunda derivada [src] 
   /  /          2   \            \
   |  |    3*cosh (x)|   2*cosh(x)|
-2*|x*|1 - ----------| + ---------|
   |  |         2    |    sinh(x) |
   \  \     sinh (x) /            /
-----------------------------------
                  2                
              sinh (x)
$$- \frac{2 \left(x \left(1 - \frac{3 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right) + \frac{2 \cosh{\left(x \right)}}{\sinh{\left(x \right)}}\right)}{\sinh^{2}{\left(x \right)}}$$
Simplificar
Tercera derivada [src] 
  /                      /          2   \        \
  |                      |    3*cosh (x)|        |
  |                  4*x*|2 - ----------|*cosh(x)|
  |           2          |         2    |        |
  |     9*cosh (x)       \     sinh (x) /        |
2*|-3 + ---------- + ----------------------------|
  |          2                 sinh(x)           |
  \      sinh (x)                                /
--------------------------------------------------
                         2                        
                     sinh (x)
$$\frac{2 \left(\frac{4 x \left(2 - \frac{3 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right) \cosh{\left(x \right)}}{\sinh{\left(x \right)}} - 3 + \frac{9 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right)}{\sinh^{2}{\left(x \right)}}$$
Simplificar
Gráfico
Derivada de x/(sh(x)^2)
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