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Derivada de la función/ x*sin/ x*sin(2|x|)

Derivada de x*sin(2|x|)

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

Ha introducido [src] 
x*sin(2*|x|)
xsin⁡(2∣x∣)x \sin{\left(2 \left|{x}\right| \right)} 
x*sin(2*|x|)
Primera derivada [src] 
2*x*cos(2*|x|)*sign(x) + sin(2*|x|)
2xcos⁡(2∣x∣)sign⁡(x)+sin⁡(2∣x∣)2 x \cos{\left(2 \left|{x}\right| \right)} \operatorname{sign}{\left(x \right)} + \sin{\left(2 \left|{x}\right| \right)}
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Segunda derivada [src] 
  /                       /    2                                         \\
4*\cos(2*|x|)*sign(x) - x*\sign (x)*sin(2*|x|) - DiracDelta(x)*cos(2*|x|)//
4(−x(sin⁡(2∣x∣)sign⁡2(x)−cos⁡(2∣x∣)δ(x))+cos⁡(2∣x∣)sign⁡(x))4 \left(- x \left(\sin{\left(2 \left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - \cos{\left(2 \left|{x}\right| \right)} \delta\left(x\right)\right) + \cos{\left(2 \left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}\right)
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Tercera derivada [src] 
  /    /                                     3                                                   \         2                                           \
4*\- x*\-DiracDelta(x, 1)*cos(2*|x|) + 2*sign (x)*cos(2*|x|) + 6*DiracDelta(x)*sign(x)*sin(2*|x|)/ - 3*sign (x)*sin(2*|x|) + 3*DiracDelta(x)*cos(2*|x|)/
4(−x(6sin⁡(2∣x∣)δ(x)sign⁡(x)−cos⁡(2∣x∣)δ(1)(x)+2cos⁡(2∣x∣)sign⁡3(x))−3sin⁡(2∣x∣)sign⁡2(x)+3cos⁡(2∣x∣)δ(x))4 \left(- x \left(6 \sin{\left(2 \left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)} - \cos{\left(2 \left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) + 2 \cos{\left(2 \left|{x}\right| \right)} \operatorname{sign}^{3}{\left(x \right)}\right) - 3 \sin{\left(2 \left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} + 3 \cos{\left(2 \left|{x}\right| \right)} \delta\left(x\right)\right)
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