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y=e^xsinhx÷coshx-1^2

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  • Derivada de:
  • Derivada de 4*y Derivada de 4*y
  • Derivada de -1/y Derivada de -1/y
  • Derivada de (14-x)*e^14-x Derivada de (14-x)*e^14-x
  • Derivada de y=7 Derivada de y=7

  • Expresiones idénticas

  • y=e^xsinhx÷coshx- uno ^ dos
  • y es igual a e en el grado x seno hiperbólico de x÷ coseno de eno hiperbólico de x menos 1 al cuadrado
  • y es igual a e en el grado x seno hiperbólico de x÷ coseno de eno hiperbólico de x menos uno en el grado dos
  • y=exsinhx÷coshx-12
  • y=e^xsinhx÷coshx-1²
  • y=e en el grado xsinhx÷coshx-1 en el grado 2

  • Expresiones semejantes

  • y=e^xsinhx÷coshx+1^2
Derivada de la función/ coshx/ y=e^x/ sinhx/ y=e^xsinhx÷coshx-1^2

Derivada de y=e^xsinhx÷coshx-1^2

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

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Solución

Ha introducido [src] 
 x            
E *sinh(x)    
---------- - 1
 cosh(x)
exsinh⁡(x)cosh⁡(x)−1\frac{e^{x} \sinh{\left(x \right)}}{\cosh{\left(x \right)}} - 1 
(E^x*sinh(x))/cosh(x) - 1
Gráfica
02468-8-6-4-2-1010-2500025000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
         x    x               2     x
cosh(x)*e  + e *sinh(x)   sinh (x)*e 
----------------------- - -----------
        cosh(x)                 2    
                            cosh (x)
exsinh⁡(x)+excosh⁡(x)cosh⁡(x)−exsinh⁡2(x)cosh⁡2(x)\frac{e^{x} \sinh{\left(x \right)} + e^{x} \cosh{\left(x \right)}}{\cosh{\left(x \right)}} - \frac{e^{x} \sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}}
Simplificar
Segunda derivada [src] 
/                2            3                                 \   
|            sinh (x)   2*sinh (x)   (cosh(x) + sinh(x))*sinh(x)|  x
|2*cosh(x) - -------- + ---------- - ---------------------------|*e 
|            cosh(x)         2                 cosh(x)          |   
\                        cosh (x)                               /   
--------------------------------------------------------------------
                              cosh(x)
(−(sinh⁡(x)+cosh⁡(x))sinh⁡(x)cosh⁡(x)+2sinh⁡3(x)cosh⁡2(x)−sinh⁡2(x)cosh⁡(x)+2cosh⁡(x))excosh⁡(x)\frac{\left(- \frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x \right)}}{\cosh{\left(x \right)}} + \frac{2 \sinh^{3}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - \frac{\sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)}} + 2 \cosh{\left(x \right)}\right) e^{x}}{\cosh{\left(x \right)}}
Simplificar
Tercera derivada [src] 
/           4                                                3            2                                            2                       \   
|     6*sinh (x)   4*sinh(x)   3*(cosh(x) + sinh(x))   4*sinh (x)   7*sinh (x)   4*(cosh(x) + sinh(x))*sinh(x)   2*sinh (x)*(cosh(x) + sinh(x))|  x
|-2 - ---------- - --------- + --------------------- + ---------- + ---------- - ----------------------------- + ------------------------------|*e 
|          4        cosh(x)           cosh(x)               3            2                      2                               3              |   
\      cosh (x)                                         cosh (x)     cosh (x)               cosh (x)                        cosh (x)           /
(2(sinh⁡(x)+cosh⁡(x))sinh⁡2(x)cosh⁡3(x)−4(sinh⁡(x)+cosh⁡(x))sinh⁡(x)cosh⁡2(x)+3(sinh⁡(x)+cosh⁡(x))cosh⁡(x)−6sinh⁡4(x)cosh⁡4(x)+4sinh⁡3(x)cosh⁡3(x)+7sinh⁡2(x)cosh⁡2(x)−4sinh⁡(x)cosh⁡(x)−2)ex\left(\frac{2 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh^{2}{\left(x \right)}}{\cosh^{3}{\left(x \right)}} - \frac{4 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + \frac{3 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\cosh{\left(x \right)}} - \frac{6 \sinh^{4}{\left(x \right)}}{\cosh^{4}{\left(x \right)}} + \frac{4 \sinh^{3}{\left(x \right)}}{\cosh^{3}{\left(x \right)}} + \frac{7 \sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - \frac{4 \sinh{\left(x \right)}}{\cosh{\left(x \right)}} - 2\right) e^{x}
Simplificar
Gráfico
Derivada de y=e^xsinhx÷coshx-1^2
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