Sr Examen
¿Cómo vas a descomponer esta exp(x)/(x+1)-exp(x)/(x+1)^2 expresión en fracciones?
Solución
Ha introducido
[src]
x x
e e
----- - --------
x + 1 2
(x + 1)
$$- \frac{e^{x}}{\left(x + 1\right)^{2}} + \frac{e^{x}}{x + 1}$$
exp(x)/(x + 1) - exp(x)/(x + 1)^2
Simplificación general
[src]
x
x*e
------------
2
1 + x + 2*x
$$\frac{x e^{x}}{x^{2} + 2 x + 1}$$
x*exp(x)/(1 + x^2 + 2*x)
Respuesta numérica
[src]
exp(x)/(1.0 + x) - exp(x)/(1.0 + x)^2
exp(x)/(1.0 + x) - exp(x)/(1.0 + x)^2
Compilar la expresión
[src]
x x
e e
----- - --------
1 + x 2
(1 + x)
$$\frac{e^{x}}{x + 1} - \frac{e^{x}}{\left(x + 1\right)^{2}}$$
exp(x)/(1 + x) - exp(x)/(1 + x)^2
Denominador racional
[src]
2 x x
(1 + x) *e - (1 + x)*e
------------------------
3
(1 + x)
$$\frac{\left(x + 1\right)^{2} e^{x} - \left(x + 1\right) e^{x}}{\left(x + 1\right)^{3}}$$
((1 + x)^2*exp(x) - (1 + x)*exp(x))/(1 + x)^3
Combinatoria
[src]
x
x*e
--------
2
(1 + x)
$$\frac{x e^{x}}{\left(x + 1\right)^{2}}$$
x*exp(x)/(1 + x)^2
Denominador común
[src]
x
x*e
------------
2
1 + x + 2*x
$$\frac{x e^{x}}{x^{2} + 2 x + 1}$$
x*exp(x)/(1 + x^2 + 2*x)
Unión de expresiones racionales
[src]
x
x*e
--------
2
(1 + x)
$$\frac{x e^{x}}{\left(x + 1\right)^{2}}$$
x*exp(x)/(1 + x)^2
Potencias
[src]
x x
e e
----- - --------
1 + x 2
(1 + x)
$$\frac{e^{x}}{x + 1} - \frac{e^{x}}{\left(x + 1\right)^{2}}$$
exp(x)/(1 + x) - exp(x)/(1 + x)^2
Parte trigonométrica
[src]
x*(cosh(x) + sinh(x))
---------------------
2
(1 + x)
$$\frac{x \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\left(x + 1\right)^{2}}$$
x x
e e
----- - --------
1 + x 2
(1 + x)
$$\frac{e^{x}}{x + 1} - \frac{e^{x}}{\left(x + 1\right)^{2}}$$
cosh(x) + sinh(x) cosh(x) + sinh(x)
----------------- - -----------------
1 + x 2
(1 + x)
$$\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{x + 1} - \frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{\left(x + 1\right)^{2}}$$
(cosh(x) + sinh(x))/(1 + x) - (cosh(x) + sinh(x))/(1 + x)^2