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|x|((x^2)-pi^2)^2

Derivada de |x|((x^2)-pi^2)^2

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

Ha introducido [src]
              2
    / 2     2\ 
|x|*\x  - pi / 
$$\left(x^{2} - \pi^{2}\right)^{2} \left|{x}\right|$$
|x|*(x^2 - pi^2)^2
Gráfica
Primera derivada [src]
          2                             
/ 2     2\                / 2     2\    
\x  - pi / *sign(x) + 4*x*\x  - pi /*|x|
$$4 x \left(x^{2} - \pi^{2}\right) \left|{x}\right| + \left(x^{2} - \pi^{2}\right)^{2} \operatorname{sign}{\left(x \right)}$$
Segunda derivada [src]
  /          2                                                              \
  |/ 2     2\                    /    2      2\           / 2     2\        |
2*\\x  - pi / *DiracDelta(x) + 2*\- pi  + 3*x /*|x| + 4*x*\x  - pi /*sign(x)/
$$2 \left(4 x \left(x^{2} - \pi^{2}\right) \operatorname{sign}{\left(x \right)} + \left(x^{2} - \pi^{2}\right)^{2} \delta\left(x\right) + 2 \left(3 x^{2} - \pi^{2}\right) \left|{x}\right|\right)$$
Tercera derivada [src]
  /          2                                                                                       \
  |/ 2     2\                       /    2      2\                           / 2     2\              |
2*\\x  - pi / *DiracDelta(x, 1) + 6*\- pi  + 3*x /*sign(x) + 12*x*|x| + 12*x*\x  - pi /*DiracDelta(x)/
$$2 \left(12 x \left(x^{2} - \pi^{2}\right) \delta\left(x\right) + 12 x \left|{x}\right| + \left(x^{2} - \pi^{2}\right)^{2} \delta^{\left( 1 \right)}\left( x \right) + 6 \left(3 x^{2} - \pi^{2}\right) \operatorname{sign}{\left(x \right)}\right)$$
Gráfico
Derivada de |x|((x^2)-pi^2)^2