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Derivada de la función/ e^x-1/ x*exp/ exp(-x)/ x*exp(-x)|e^x-1|

Derivada de x*exp(-x)|e^x-1|

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

Ha introducido [src] 
   -x | x    |
x*e  *|E  - 1|
xe−x∣ex−1∣x e^{- x} \left|{e^{x} - 1}\right| 
(x*exp(-x))*|E^x - 1|
Primera derivada [src] 
      /      x\   /     -x    -x\ | x    |
x*sign\-1 + e / + \- x*e   + e  /*|E  - 1|
xsign⁡(ex−1)+(−xe−x+e−x)∣ex−1∣x \operatorname{sign}{\left(e^{x} - 1 \right)} + \left(- x e^{- x} + e^{- x}\right) \left|{e^{x} - 1}\right|
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Segunda derivada [src] 
  /            /      x\  x       /      x\\                  /      x\            |      x|  -x
x*\2*DiracDelta\-1 + e /*e  + sign\-1 + e // - 2*(-1 + x)*sign\-1 + e / + (-2 + x)*|-1 + e |*e
x(2exδ(ex−1)+sign⁡(ex−1))+(x−2)e−x∣ex−1∣−2(x−1)sign⁡(ex−1)x \left(2 e^{x} \delta\left(e^{x} - 1\right) + \operatorname{sign}{\left(e^{x} - 1 \right)}\right) + \left(x - 2\right) e^{- x} \left|{e^{x} - 1}\right| - 2 \left(x - 1\right) \operatorname{sign}{\left(e^{x} - 1 \right)}
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Tercera derivada [src] 
  /            /      x   \  2*x               /      x\  x       /      x\\              /            /      x\  x       /      x\\                  /      x\            |      x|  -x
x*\2*DiracDelta\-1 + e , 1/*e    + 6*DiracDelta\-1 + e /*e  + sign\-1 + e // - 3*(-1 + x)*\2*DiracDelta\-1 + e /*e  + sign\-1 + e // + 3*(-2 + x)*sign\-1 + e / - (-3 + x)*|-1 + e |*e
x(2e2xδ(1)(ex−1)+6exδ(ex−1)+sign⁡(ex−1))−(x−3)e−x∣ex−1∣+3(x−2)sign⁡(ex−1)−3(x−1)(2exδ(ex−1)+sign⁡(ex−1))x \left(2 e^{2 x} \delta^{\left( 1 \right)}\left( e^{x} - 1 \right) + 6 e^{x} \delta\left(e^{x} - 1\right) + \operatorname{sign}{\left(e^{x} - 1 \right)}\right) - \left(x - 3\right) e^{- x} \left|{e^{x} - 1}\right| + 3 \left(x - 2\right) \operatorname{sign}{\left(e^{x} - 1 \right)} - 3 \left(x - 1\right) \left(2 e^{x} \delta\left(e^{x} - 1\right) + \operatorname{sign}{\left(e^{x} - 1 \right)}\right)
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