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y=ln^2(|x|)
Derivada de la función/ (|x|)/ y=ln^2/ y=ln^2(|x|)

Derivada de y=ln^2(|x|)

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

Ha introducido [src] 
   2     
log (|x|)
log⁡(∣x∣)2\log{\left(\left|{x}\right| \right)}^{2} 
log(|x|)^2
Gráfica
02468-8-6-4-2-1010-5050
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
2*log(|x|)*sign(x)
------------------
       |x|
2log⁡(∣x∣)sign⁡(x)∣x∣\frac{2 \log{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}
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Segunda derivada [src] 
  /    2          2                                       \
  |sign (x)   sign (x)*log(|x|)   2*DiracDelta(x)*log(|x|)|
2*|-------- - ----------------- + ------------------------|
  |    2               2                    |x|           |
  \   x               x                                   /
2(2log⁡(∣x∣)δ(x)∣x∣−log⁡(∣x∣)sign⁡2(x)x2+sign⁡2(x)x2)2 \left(\frac{2 \log{\left(\left|{x}\right| \right)} \delta\left(x\right)}{\left|{x}\right|} - \frac{\log{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)}}{x^{2}} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right)
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Tercera derivada [src] 
  /        2          3            2                                                                                                       \
  |  2*sign (x)   sign (x)   2*sign (x)*log(|x|)   2*DiracDelta(x, 1)*log(|x|)   6*DiracDelta(x)*sign(x)   6*DiracDelta(x)*log(|x|)*sign(x)|
2*|- ---------- - -------- + ------------------- + --------------------------- + ----------------------- - --------------------------------|
  |       3         2                  3                       |x|                           2                             2               |
  \      x         x *|x|             x                                                     x                             x                /
2(2log⁡(∣x∣)δ(1)(x)∣x∣−6log⁡(∣x∣)δ(x)sign⁡(x)x2+6δ(x)sign⁡(x)x2−sign⁡3(x)x2∣x∣+2log⁡(∣x∣)sign⁡2(x)x3−2sign⁡2(x)x3)2 \left(\frac{2 \log{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{6 \log{\left(\left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} + \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} - \frac{\operatorname{sign}^{3}{\left(x \right)}}{x^{2} \left|{x}\right|} + \frac{2 \log{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)}}{x^{3}} - \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{x^{3}}\right)
Simplificar
Gráfico
Derivada de y=ln^2(|x|)
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