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|x|*e^-|x|
Derivada de la función/ |x|*e^-|x|

Derivada de |x|*e^-|x|

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
     -|x|
|x|*E
e−∣x∣∣x∣e^{- \left|{x}\right|} \left|{x}\right| 
|x|*E^(-|x|)
Gráfica
02468-8-6-4-2-10101-1
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
 -|x|                -|x|        
e    *sign(x) - |x|*e    *sign(x)
−e−∣x∣∣x∣sign⁡(x)+e−∣x∣sign⁡(x)- e^{- \left|{x}\right|} \left|{x}\right| \operatorname{sign}{\left(x \right)} + e^{- \left|{x}\right|} \operatorname{sign}{\left(x \right)}
Simplificar
Segunda derivada [src] 
/        2                        /      2                     \    \  -|x|
\- 2*sign (x) + 2*DiracDelta(x) - \- sign (x) + 2*DiracDelta(x)/*|x|/*e
(−(2δ(x)−sign⁡2(x))∣x∣+2δ(x)−2sign⁡2(x))e−∣x∣\left(- \left(2 \delta\left(x\right) - \operatorname{sign}^{2}{\left(x \right)}\right) \left|{x}\right| + 2 \delta\left(x\right) - 2 \operatorname{sign}^{2}{\left(x \right)}\right) e^{- \left|{x}\right|}
Simplificar
Tercera derivada [src] 
/                     /    3                                                  \                                   /      2                     \        \  -|x|
\2*DiracDelta(x, 1) - \sign (x) + 2*DiracDelta(x, 1) - 6*DiracDelta(x)*sign(x)/*|x| - 6*DiracDelta(x)*sign(x) - 3*\- sign (x) + 2*DiracDelta(x)/*sign(x)/*e
(−3(2δ(x)−sign⁡2(x))sign⁡(x)−(−6δ(x)sign⁡(x)+2δ(1)(x)+sign⁡3(x))∣x∣−6δ(x)sign⁡(x)+2δ(1)(x))e−∣x∣\left(- 3 \left(2 \delta\left(x\right) - \operatorname{sign}^{2}{\left(x \right)}\right) \operatorname{sign}{\left(x \right)} - \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) \left|{x}\right| - 6 \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 \delta^{\left( 1 \right)}\left( x \right)\right) e^{- \left|{x}\right|}
Simplificar
Gráfico
Derivada de |x|*e^-|x|
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