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|x|*exp(-5*|x|)
Derivada de la función/ |x|*exp(-5*|x|)

Derivada de |x|*exp(-5*|x|)

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
     -5*|x|
|x|*e
e−5∣x∣∣x∣e^{- 5 \left|{x}\right|} \left|{x}\right| 
|x|*exp(-5*|x|)
Gráfica
02468-8-6-4-2-10100.5-0.5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
 -5*|x|                  -5*|x|        
e      *sign(x) - 5*|x|*e      *sign(x)
−5e−5∣x∣∣x∣sign⁡(x)+e−5∣x∣sign⁡(x)- 5 e^{- 5 \left|{x}\right|} \left|{x}\right| \operatorname{sign}{\left(x \right)} + e^{- 5 \left|{x}\right|} \operatorname{sign}{\left(x \right)}
Simplificar
Segunda derivada [src] 
/         2                          /        2                     \    \  -5*|x|
\- 10*sign (x) + 2*DiracDelta(x) - 5*\- 5*sign (x) + 2*DiracDelta(x)/*|x|/*e
(−5(2δ(x)−5sign⁡2(x))∣x∣+2δ(x)−10sign⁡2(x))e−5∣x∣\left(- 5 \left(2 \delta\left(x\right) - 5 \operatorname{sign}^{2}{\left(x \right)}\right) \left|{x}\right| + 2 \delta\left(x\right) - 10 \operatorname{sign}^{2}{\left(x \right)}\right) e^{- 5 \left|{x}\right|}
Simplificar
Tercera derivada [src] 
/                                                   /        2                     \             /                            3                              \    \  -5*|x|
\2*DiracDelta(x, 1) - 30*DiracDelta(x)*sign(x) - 15*\- 5*sign (x) + 2*DiracDelta(x)/*sign(x) - 5*\2*DiracDelta(x, 1) + 25*sign (x) - 30*DiracDelta(x)*sign(x)/*|x|/*e
(−15(2δ(x)−5sign⁡2(x))sign⁡(x)−5(−30δ(x)sign⁡(x)+2δ(1)(x)+25sign⁡3(x))∣x∣−30δ(x)sign⁡(x)+2δ(1)(x))e−5∣x∣\left(- 15 \left(2 \delta\left(x\right) - 5 \operatorname{sign}^{2}{\left(x \right)}\right) \operatorname{sign}{\left(x \right)} - 5 \left(- 30 \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 \delta^{\left( 1 \right)}\left( x \right) + 25 \operatorname{sign}^{3}{\left(x \right)}\right) \left|{x}\right| - 30 \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 \delta^{\left( 1 \right)}\left( x \right)\right) e^{- 5 \left|{x}\right|}
Simplificar
Gráfico
Derivada de |x|*exp(-5*|x|)
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