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

Derivada de |x|*(sin(x))^2

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

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