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|x-sin(2x)|/pi
Derivada de la función/ sin(2x)/ |x-sin(2x)|/pi

Derivada de |x-sin(2x)|/pi

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

Ha introducido [src] 
|x - sin(2*x)|
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      pi
∣x−sin⁡(2x)∣π\frac{\left|{x - \sin{\left(2 x \right)}}\right|}{\pi} 
Abs(x - sin(2*x))/pi
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
(1 - 2*cos(2*x))*sign(x - sin(2*x))
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                 pi
(1−2cos⁡(2x))sign⁡(x−sin⁡(2x))π\frac{\left(1 - 2 \cos{\left(2 x \right)}\right) \operatorname{sign}{\left(x - \sin{\left(2 x \right)} \right)}}{\pi}
Simplificar
Segunda derivada [src] 
  /                 2                                                         \
2*\(-1 + 2*cos(2*x)) *DiracDelta(x - sin(2*x)) + 2*sign(x - sin(2*x))*sin(2*x)/
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                                       pi
2((2cos⁡(2x)−1)2δ(x−sin⁡(2x))+2sin⁡(2x)sign⁡(x−sin⁡(2x)))π\frac{2 \left(\left(2 \cos{\left(2 x \right)} - 1\right)^{2} \delta\left(x - \sin{\left(2 x \right)}\right) + 2 \sin{\left(2 x \right)} \operatorname{sign}{\left(x - \sin{\left(2 x \right)} \right)}\right)}{\pi}
Simplificar
Tercera derivada [src] 
   /                 3                                                                                                                     \
-2*\(-1 + 2*cos(2*x)) *DiracDelta(x - sin(2*x), 1) - 4*cos(2*x)*sign(x - sin(2*x)) + 12*(-1 + 2*cos(2*x))*DiracDelta(x - sin(2*x))*sin(2*x)/
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                                                                     pi
−2((2cos⁡(2x)−1)3δ(1)(x−sin⁡(2x))+12(2cos⁡(2x)−1)sin⁡(2x)δ(x−sin⁡(2x))−4cos⁡(2x)sign⁡(x−sin⁡(2x)))π- \frac{2 \left(\left(2 \cos{\left(2 x \right)} - 1\right)^{3} \delta^{\left( 1 \right)}\left( x - \sin{\left(2 x \right)} \right) + 12 \left(2 \cos{\left(2 x \right)} - 1\right) \sin{\left(2 x \right)} \delta\left(x - \sin{\left(2 x \right)}\right) - 4 \cos{\left(2 x \right)} \operatorname{sign}{\left(x - \sin{\left(2 x \right)} \right)}\right)}{\pi}
Simplificar
Gráfico
Derivada de |x-sin(2x)|/pi
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