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y=-(e^(2*x)/(sh^3(x)))
Derivada de la función/ e^(2*x)/ y=-(e^(2*x)/(sh^3(x)))

Derivada de y=-(e^(2*x)/(sh^3(x)))

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

Ha introducido [src] 
   2*x  
 -E     
--------
    3   
sinh (x)
−e2xsinh⁡3(x)- \frac{e^{2 x}}{\sinh^{3}{\left(x \right)}} 
-E^(2*x)/sinh(x)^3
Gráfica
02468-8-6-4-2-1010-5000050000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
      2*x               2*x
   2*e       3*cosh(x)*e   
- -------- + --------------
      3             4      
  sinh (x)      sinh (x)
−2e2xsinh⁡3(x)+3e2xcosh⁡(x)sinh⁡4(x)- \frac{2 e^{2 x}}{\sinh^{3}{\left(x \right)}} + \frac{3 e^{2 x} \cosh{\left(x \right)}}{\sinh^{4}{\left(x \right)}}
Simplificar
Segunda derivada [src] 
/            2                \     
|     12*cosh (x)   12*cosh(x)|  2*x
|-1 - ----------- + ----------|*e   
|           2        sinh(x)  |     
\       sinh (x)              /     
------------------------------------
                  3                 
              sinh (x)
(−1+12cosh⁡(x)sinh⁡(x)−12cosh⁡2(x)sinh⁡2(x))e2xsinh⁡3(x)\frac{\left(-1 + \frac{12 \cosh{\left(x \right)}}{\sinh{\left(x \right)}} - \frac{12 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right) e^{2 x}}{\sinh^{3}{\left(x \right)}}
Simplificar
Tercera derivada [src] 
/                                  /            2   \        \     
|                                  |     20*cosh (x)|        |     
|                                3*|11 - -----------|*cosh(x)|     
|            2                     |           2    |        |     
|     72*cosh (x)   36*cosh(x)     \       sinh (x) /        |  2*x
|10 - ----------- + ---------- - ----------------------------|*e   
|           2        sinh(x)               sinh(x)           |     
\       sinh (x)                                             /     
-------------------------------------------------------------------
                                  3                                
                              sinh (x)
(−3(11−20cosh⁡2(x)sinh⁡2(x))cosh⁡(x)sinh⁡(x)+10+36cosh⁡(x)sinh⁡(x)−72cosh⁡2(x)sinh⁡2(x))e2xsinh⁡3(x)\frac{\left(- \frac{3 \left(11 - \frac{20 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right) \cosh{\left(x \right)}}{\sinh{\left(x \right)}} + 10 + \frac{36 \cosh{\left(x \right)}}{\sinh{\left(x \right)}} - \frac{72 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right) e^{2 x}}{\sinh^{3}{\left(x \right)}}
Simplificar
Gráfico
Derivada de y=-(e^(2*x)/(sh^3(x)))
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