Sr Examen

Derivada de x*|x+1|

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

Ha introducido [src]
x*|x + 1|
$$x \left|{x + 1}\right|$$
x*|x + 1|
Primera derivada [src]
x*sign(1 + x) + |x + 1|
$$x \operatorname{sign}{\left(x + 1 \right)} + \left|{x + 1}\right|$$
Segunda derivada [src]
2*(x*DiracDelta(1 + x) + sign(1 + x))
$$2 \left(x \delta\left(x + 1\right) + \operatorname{sign}{\left(x + 1 \right)}\right)$$
Tercera derivada [src]
2*(3*DiracDelta(1 + x) + x*DiracDelta(1 + x, 1))
$$2 \left(x \delta^{\left( 1 \right)}\left( x + 1 \right) + 3 \delta\left(x + 1\right)\right)$$
5-я производная [src]
2*(5*DiracDelta(1 + x, 2) + x*DiracDelta(1 + x, 3))
$$2 \left(x \delta^{\left( 3 \right)}\left( x + 1 \right) + 5 \delta^{\left( 2 \right)}\left( x + 1 \right)\right)$$