Sr Examen

Otras calculadoras

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

Derivada de x*exp(|x|)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   |x|
x*e
$$x e^{\left|{x}\right|}$$ 
x*exp(|x|)
Primera derivada [src] 
   |x|            |x|
x*e   *sign(x) + e
$$x e^{\left|{x}\right|} \operatorname{sign}{\left(x \right)} + e^{\left|{x}\right|}$$
Simplificar
Segunda derivada [src] 
/              /    2                     \\  |x|
\2*sign(x) + x*\sign (x) + 2*DiracDelta(x)//*e
$$\left(x \left(2 \delta\left(x\right) + \operatorname{sign}^{2}{\left(x \right)}\right) + 2 \operatorname{sign}{\left(x \right)}\right) e^{\left|{x}\right|}$$
Simplificar
Tercera derivada [src] 
/      2                          /    3                                                  \\  |x|
\3*sign (x) + 6*DiracDelta(x) + x*\sign (x) + 2*DiracDelta(x, 1) + 6*DiracDelta(x)*sign(x)//*e
$$\left(x \left(6 \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 \delta^{\left( 1 \right)}\left( x \right) + \operatorname{sign}^{3}{\left(x \right)}\right) + 6 \delta\left(x\right) + 3 \operatorname{sign}^{2}{\left(x \right)}\right) e^{\left|{x}\right|}$$
Simplificar
    © Sr Examen – Калькулятор