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Derivada de |x|*x+3*|x|-5*x

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Solución

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