Sr Examen

Otras calculadoras

Simplificación de expresiones/ Descomposición en fracciones simples/ e^x/(1-e^x)

¿Cómo vas a descomponer esta e^x/(1-e^x) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
   x  
  E   
------
     x
1 - E
ex1−ex\frac{e^{x}}{1 - e^{x}} 
E^x/(1 - E^x)
Descomposición de una fracción [src] 
-1 - 1/(-1 + exp(x))
−1−1ex−1-1 - \frac{1}{e^{x} - 1} 
        1   
-1 - -------
           x
     -1 + e
Denominador común [src] 
        1   
-1 - -------
           x
     -1 + e
−1−1ex−1-1 - \frac{1}{e^{x} - 1} 
-1 - 1/(-1 + exp(x))
Combinatoria [src] 
    x  
  -e   
-------
      x
-1 + e
−exex−1- \frac{e^{x}}{e^{x} - 1} 
-exp(x)/(-1 + exp(x))
Respuesta numérica [src] 
2.71828182845905^x/(1.0 - 2.71828182845905^x)
2.71828182845905^x/(1.0 - 2.71828182845905^x)
Parte trigonométrica [src] 
                     x  
  (cosh(1) + sinh(1))   
------------------------
                       x
1 - (cosh(1) + sinh(1))
(sinh⁡(1)+cosh⁡(1))x1−(sinh⁡(1)+cosh⁡(1))x\frac{\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x}}{1 - \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x}} 
                      x  
  -(cosh(1) + sinh(1))   
-------------------------
                        x
-1 + (cosh(1) + sinh(1))
−(sinh⁡(1)+cosh⁡(1))x(sinh⁡(1)+cosh⁡(1))x−1- \frac{\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x}}{\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} - 1} 
  cosh(x) + sinh(x)  
---------------------
1 - cosh(x) - sinh(x)
sinh⁡(x)+cosh⁡(x)−sinh⁡(x)−cosh⁡(x)+1\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{- \sinh{\left(x \right)} - \cosh{\left(x \right)} + 1} 
-(cosh(x) + sinh(x))  
----------------------
-1 + cosh(x) + sinh(x)
−sinh⁡(x)+cosh⁡(x)sinh⁡(x)+cosh⁡(x)−1- \frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{\sinh{\left(x \right)} + \cosh{\left(x \right)} - 1} 
-(cosh(x) + sinh(x))/(-1 + cosh(x) + sinh(x))
    © Sr Examen – Калькулятор