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
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¿Cómo usar?
- Derivada de:
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Derivada de x^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
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Expresiones idénticas
- x*exp(-n*abs(x))/abs(x)
- x multiplicar por exponente de ( menos n multiplicar por abs(x)) dividir por abs(x)
- xexp(-nabs(x))/abs(x)
- xexp-nabsx/absx
- x*exp(-n*abs(x)) dividir por abs(x)
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Expresiones semejantes
- x*exp(n*abs(x))/abs(x)
Derivada de x*exp(-n*abs(x))/abs(x)
Solución
Ha introducido
[src]
-n*|x| x*e --------- |x|
$$\frac{x e^{- n \left|{x}\right|}}{\left|{x}\right|}$$
(x*exp((-n)*|x|))/|x|
Primera derivada
[src]
-n*|x| -n*|x| -n*|x|
- n*x*e *sign(x) + e e *sign(x)
------------------------------- - ---------------
|x| x
$$\frac{- n x e^{- n \left|{x}\right|} \operatorname{sign}{\left(x \right)} + e^{- n \left|{x}\right|}}{\left|{x}\right|} - \frac{e^{- n \left|{x}\right|} \operatorname{sign}{\left(x \right)}}{x}$$
Segunda derivada
[src]
/ / sign(x) \ \ | 2*|- ------- + DiracDelta(x)| / / 2 \\ | | \ x / n*\-2*sign(x) + x*\-2*DiracDelta(x) + n*sign (x)// 2*(-1 + n*x*sign(x))*sign(x)| -n*|x| |- ----------------------------- + -------------------------------------------------- + ----------------------------|*e | x |x| 2 | \ x /
$$\left(\frac{n \left(x \left(n \operatorname{sign}^{2}{\left(x \right)} - 2 \delta\left(x\right)\right) - 2 \operatorname{sign}{\left(x \right)}\right)}{\left|{x}\right|} - \frac{2 \left(\delta\left(x\right) - \frac{\operatorname{sign}{\left(x \right)}}{x}\right)}{x} + \frac{2 \left(n x \operatorname{sign}{\left(x \right)} - 1\right) \operatorname{sign}{\left(x \right)}}{x^{2}}\right) e^{- n \left|{x}\right|}$$
Tercera derivada
[src]
/ / 4*DiracDelta(x) 3*sign(x) \ \ | 2*|- --------------- + --------- + DiracDelta(x, 1)| / sign(x) \ | | | x 2 | / / 2 3 \ 2 \ 6*(-1 + n*x*sign(x))*|- ------- + DiracDelta(x)| / / 2 \\ | | \ x / n*\6*DiracDelta(x) + x*\2*DiracDelta(x, 1) + n *sign (x) - 6*n*DiracDelta(x)*sign(x)/ - 3*n*sign (x)/ \ x / 3*n*\-2*sign(x) + x*\-2*DiracDelta(x) + n*sign (x)//*sign(x)| -n*|x| |- ---------------------------------------------------- - ----------------------------------------------------------------------------------------------------- + ------------------------------------------------ - ------------------------------------------------------------|*e | x |x| 2 2 | \ x x /
$$\left(- \frac{n \left(- 3 n \operatorname{sign}^{2}{\left(x \right)} + x \left(n^{2} \operatorname{sign}^{3}{\left(x \right)} - 6 n \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 \delta^{\left( 1 \right)}\left( x \right)\right) + 6 \delta\left(x\right)\right)}{\left|{x}\right|} - \frac{3 n \left(x \left(n \operatorname{sign}^{2}{\left(x \right)} - 2 \delta\left(x\right)\right) - 2 \operatorname{sign}{\left(x \right)}\right) \operatorname{sign}{\left(x \right)}}{x^{2}} - \frac{2 \left(\delta^{\left( 1 \right)}\left( x \right) - \frac{4 \delta\left(x\right)}{x} + \frac{3 \operatorname{sign}{\left(x \right)}}{x^{2}}\right)}{x} + \frac{6 \left(n x \operatorname{sign}{\left(x \right)} - 1\right) \left(\delta\left(x\right) - \frac{\operatorname{sign}{\left(x \right)}}{x}\right)}{x^{2}}\right) e^{- n \left|{x}\right|}$$