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Derivada de la función/ |x|*x/ |x|*x+3*|x|-5*x

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

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

Gráfico:

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Solución

Ha introducido [src] 
|x|*x + 3*|x| - 5*x
−5x+(x∣x∣+3∣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|
xsign⁡(x)+∣x∣+3sign⁡(x)−5x \operatorname{sign}{\left(x \right)} + \left|{x}\right| + 3 \operatorname{sign}{\left(x \right)} - 5
Simplificar
Segunda derivada [src] 
2*(3*DiracDelta(x) + x*DiracDelta(x) + sign(x))
2(xδ(x)+3δ(x)+sign⁡(x))2 \left(x \delta\left(x\right) + 3 \delta\left(x\right) + \operatorname{sign}{\left(x \right)}\right)
Simplificar
3-я производная [src] 
2*(3*DiracDelta(x) + 3*DiracDelta(x, 1) + x*DiracDelta(x, 1))
2(xδ(1)(x)+3δ(x)+3δ(1)(x))2 \left(x \delta^{\left( 1 \right)}\left( x \right) + 3 \delta\left(x\right) + 3 \delta^{\left( 1 \right)}\left( x \right)\right)
Simplificar
Tercera derivada [src] 
2*(3*DiracDelta(x) + 3*DiracDelta(x, 1) + x*DiracDelta(x, 1))
2(xδ(1)(x)+3δ(x)+3δ(1)(x))2 \left(x \delta^{\left( 1 \right)}\left( x \right) + 3 \delta\left(x\right) + 3 \delta^{\left( 1 \right)}\left( x \right)\right)
Simplificar
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