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x*e^(-x)tanh(x)
Derivada de la función/ e^(-x)/ tanh(x)/ x*e^(-x)tanh(x)

Derivada de x*e^(-x)tanh(x)

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
   -x        
x*E  *tanh(x)
e−xxtanh⁡(x)e^{- x} x \tanh{\left(x \right)} 
(x*E^(-x))*tanh(x)
Gráfica
02468-8-6-4-2-1010-500000500000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/ -x      -x\             /        2   \  -x
\E   - x*e  /*tanh(x) + x*\1 - tanh (x)/*e
x(1−tanh⁡2(x))e−x+(−xe−x+e−x)tanh⁡(x)x \left(1 - \tanh^{2}{\left(x \right)}\right) e^{- x} + \left(- x e^{- x} + e^{- x}\right) \tanh{\left(x \right)}
Simplificar
Segunda derivada [src] 
/                              /         2   \       /         2   \        \  -x
\(-2 + x)*tanh(x) + 2*(-1 + x)*\-1 + tanh (x)/ + 2*x*\-1 + tanh (x)/*tanh(x)/*e
(2x(tanh⁡2(x)−1)tanh⁡(x)+(x−2)tanh⁡(x)+2(x−1)(tanh⁡2(x)−1))e−x\left(2 x \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} + \left(x - 2\right) \tanh{\left(x \right)} + 2 \left(x - 1\right) \left(\tanh^{2}{\left(x \right)} - 1\right)\right) e^{- x}
Simplificar
Tercera derivada [src] 
 /                     /         2   \                /         2   \ /           2   \              /         2   \        \  -x
-\(-3 + x)*tanh(x) + 3*\-1 + tanh (x)/*(-2 + x) + 2*x*\-1 + tanh (x)/*\-1 + 3*tanh (x)/ + 6*(-1 + x)*\-1 + tanh (x)/*tanh(x)/*e
−(2x(tanh⁡2(x)−1)(3tanh⁡2(x)−1)+(x−3)tanh⁡(x)+3(x−2)(tanh⁡2(x)−1)+6(x−1)(tanh⁡2(x)−1)tanh⁡(x))e−x- \left(2 x \left(\tanh^{2}{\left(x \right)} - 1\right) \left(3 \tanh^{2}{\left(x \right)} - 1\right) + \left(x - 3\right) \tanh{\left(x \right)} + 3 \left(x - 2\right) \left(\tanh^{2}{\left(x \right)} - 1\right) + 6 \left(x - 1\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)}\right) e^{- x}
Simplificar
Gráfico
Derivada de x*e^(-x)tanh(x)
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