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y=e^xsinhx÷cosh(x-1)^2

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de x^-7 Derivada de x^-7
  • Derivada de i*n*x
  • Derivada de (x+7)^5 Derivada de (x+7)^5
  • Derivada de 1/x^9 Derivada de 1/x^9

  • Expresiones idénticas

  • y=e^xsinhx÷cosh(x- 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÷cosh(x-1)2
  • y=exsinhx÷coshx-12
  • y=e^xsinhx÷cosh(x-1)²
  • y=e en el grado xsinhx÷cosh(x-1) en el grado 2
  • y=e^xsinhx÷coshx-1^2

  • Expresiones semejantes

  • y=e^xsinhx÷cosh(x+1)^2

  • Expresiones con funciones

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

Derivada de y=e^xsinhx÷cosh(x-1)^2

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

Ha introducido [src] 
  x         
 E *sinh(x) 
------------
    2       
cosh (x - 1)
exsinh⁡(x)cosh⁡2(x−1)\frac{e^{x} \sinh{\left(x \right)}}{\cosh^{2}{\left(x - 1 \right)}} 
(E^x*sinh(x))/cosh(x - 1)^2
Gráfica
02468-8-6-4-2-1010-2020
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
         x    x              x                    
cosh(x)*e  + e *sinh(x)   2*e *sinh(x)*sinh(x - 1)
----------------------- - ------------------------
          2                         3             
      cosh (x - 1)              cosh (x - 1)
exsinh⁡(x)+excosh⁡(x)cosh⁡2(x−1)−2exsinh⁡(x)sinh⁡(x−1)cosh⁡3(x−1)\frac{e^{x} \sinh{\left(x \right)} + e^{x} \cosh{\left(x \right)}}{\cosh^{2}{\left(x - 1 \right)}} - \frac{2 e^{x} \sinh{\left(x \right)} \sinh{\left(x - 1 \right)}}{\cosh^{3}{\left(x - 1 \right)}}
Simplificar
Segunda derivada [src] 
  //           2        \                                                                 \   
  ||     3*sinh (-1 + x)|           2*(cosh(x) + sinh(x))*sinh(-1 + x)                    |  x
2*||-1 + ---------------|*sinh(x) - ---------------------------------- + cosh(x) + sinh(x)|*e 
  ||          2         |                      cosh(-1 + x)                               |   
  \\      cosh (-1 + x) /                                                                 /   
----------------------------------------------------------------------------------------------
                                            2                                                 
                                        cosh (-1 + x)
2((3sinh⁡2(x−1)cosh⁡2(x−1)−1)sinh⁡(x)−2(sinh⁡(x)+cosh⁡(x))sinh⁡(x−1)cosh⁡(x−1)+sinh⁡(x)+cosh⁡(x))excosh⁡2(x−1)\frac{2 \left(\left(\frac{3 \sinh^{2}{\left(x - 1 \right)}}{\cosh^{2}{\left(x - 1 \right)}} - 1\right) \sinh{\left(x \right)} - \frac{2 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x - 1 \right)}}{\cosh{\left(x - 1 \right)}} + \sinh{\left(x \right)} + \cosh{\left(x \right)}\right) e^{x}}{\cosh^{2}{\left(x - 1 \right)}}
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Tercera derivada [src] 
  /                                                                                                              /           2        \                     \   
  |                                                                                                              |     3*sinh (-1 + x)|                     |   
  |                                                                                                            4*|-2 + ---------------|*sinh(x)*sinh(-1 + x)|   
  |                          /           2        \                                                              |          2         |                     |   
  |                          |     3*sinh (-1 + x)|                       6*(cosh(x) + sinh(x))*sinh(-1 + x)     \      cosh (-1 + x) /                     |  x
2*|2*cosh(x) + 2*sinh(x) + 3*|-1 + ---------------|*(cosh(x) + sinh(x)) - ---------------------------------- - ---------------------------------------------|*e 
  |                          |          2         |                                  cosh(-1 + x)                               cosh(-1 + x)                |   
  \                          \      cosh (-1 + x) /                                                                                                         /   
----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                             2                                                                                  
                                                                         cosh (-1 + x)
2(−4(3sinh⁡2(x−1)cosh⁡2(x−1)−2)sinh⁡(x)sinh⁡(x−1)cosh⁡(x−1)+3(3sinh⁡2(x−1)cosh⁡2(x−1)−1)(sinh⁡(x)+cosh⁡(x))−6(sinh⁡(x)+cosh⁡(x))sinh⁡(x−1)cosh⁡(x−1)+2sinh⁡(x)+2cosh⁡(x))excosh⁡2(x−1)\frac{2 \left(- \frac{4 \left(\frac{3 \sinh^{2}{\left(x - 1 \right)}}{\cosh^{2}{\left(x - 1 \right)}} - 2\right) \sinh{\left(x \right)} \sinh{\left(x - 1 \right)}}{\cosh{\left(x - 1 \right)}} + 3 \left(\frac{3 \sinh^{2}{\left(x - 1 \right)}}{\cosh^{2}{\left(x - 1 \right)}} - 1\right) \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) - \frac{6 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x - 1 \right)}}{\cosh{\left(x - 1 \right)}} + 2 \sinh{\left(x \right)} + 2 \cosh{\left(x \right)}\right) e^{x}}{\cosh^{2}{\left(x - 1 \right)}}
Simplificar
Gráfico
Derivada de y=e^xsinhx÷cosh(x-1)^2
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