Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
-
¿Cómo usar?
- Derivada de:
-
Derivada de (-4)/x^2
-
Derivada de 2/x²
-
Derivada de -2*y
-
Derivada de (3+2x)/(x-5)
-
Expresiones idénticas
- (x*e^abs(x))/abs(x)
- (x multiplicar por e en el grado abs(x)) dividir por abs(x)
- (x*eabs(x))/abs(x)
- x*eabsx/absx
- (xe^abs(x))/abs(x)
- (xeabs(x))/abs(x)
- xeabsx/absx
- xe^absx/absx
- (x*e^abs(x)) dividir por abs(x)
Derivada de (x*e^abs(x))/abs(x)
Solución
Ha introducido
[src]
|x| x*E ------ |x|
$$\frac{e^{\left|{x}\right|} x}{\left|{x}\right|}$$
(x*E^|x|)/|x|
Primera derivada
[src]
|x| |x| |x|
E + x*e *sign(x) e *sign(x)
--------------------- - ------------
|x| x
$$\frac{e^{\left|{x}\right|} + x e^{\left|{x}\right|} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} - \frac{e^{\left|{x}\right|} \operatorname{sign}{\left(x \right)}}{x}$$
Segunda derivada
[src]
/ / sign(x) \ \ | / 2 \ 2*|- ------- + DiracDelta(x)| | |2*sign(x) + x*\sign (x) + 2*DiracDelta(x)/ \ x / 2*(1 + x*sign(x))*sign(x)| |x| |------------------------------------------ - ----------------------------- - -------------------------|*e | |x| x 2 | \ x /
$$\left(\frac{x \left(2 \delta\left(x\right) + \operatorname{sign}^{2}{\left(x \right)}\right) + 2 \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} - \frac{2 \left(\delta\left(x\right) - \frac{\operatorname{sign}{\left(x \right)}}{x}\right)}{x} - \frac{2 \left(x \operatorname{sign}{\left(x \right)} + 1\right) \operatorname{sign}{\left(x \right)}}{x^{2}}\right) e^{\left|{x}\right|}$$
Tercera derivada
[src]
/ / 4*DiracDelta(x) 3*sign(x) \ \ | 2*|- --------------- + --------- + DiracDelta(x, 1)| / sign(x) \ | | 2 / 3 \ | x 2 | 6*(1 + x*sign(x))*|- ------- + DiracDelta(x)| / / 2 \\ | |3*sign (x) + 6*DiracDelta(x) + x*\sign (x) + 2*DiracDelta(x, 1) + 6*DiracDelta(x)*sign(x)/ \ x / \ x / 3*\2*sign(x) + x*\sign (x) + 2*DiracDelta(x)//*sign(x)| |x| |------------------------------------------------------------------------------------------ - ---------------------------------------------------- - --------------------------------------------- - ------------------------------------------------------|*e | |x| x 2 2 | \ x x /
$$\left(\frac{x \left(6 \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 \delta^{\left( 1 \right)}\left( x \right) + \operatorname{sign}^{3}{\left(x \right)}\right) + 6 \delta\left(x\right) + 3 \operatorname{sign}^{2}{\left(x \right)}}{\left|{x}\right|} - \frac{2 \left(\delta^{\left( 1 \right)}\left( x \right) - \frac{4 \delta\left(x\right)}{x} + \frac{3 \operatorname{sign}{\left(x \right)}}{x^{2}}\right)}{x} - \frac{3 \left(x \left(2 \delta\left(x\right) + \operatorname{sign}^{2}{\left(x \right)}\right) + 2 \operatorname{sign}{\left(x \right)}\right) \operatorname{sign}{\left(x \right)}}{x^{2}} - \frac{6 \left(x \operatorname{sign}{\left(x \right)} + 1\right) \left(\delta\left(x\right) - \frac{\operatorname{sign}{\left(x \right)}}{x}\right)}{x^{2}}\right) e^{\left|{x}\right|}$$