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|x|/ln(|x|)
Derivada de la función/ (|x|)/ |x|/ln(|x|)

Derivada de |x|/ln(|x|)

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

Gráfico:

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Solución

Ha introducido [src] 
  |x|   
--------
log(|x|)
∣x∣log⁡(∣x∣)\frac{\left|{x}\right|}{\log{\left(\left|{x}\right| \right)}} 
|x|/log(|x|)
Gráfica
02468-8-6-4-2-1010200-100
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
sign(x)     sign(x) 
-------- - ---------
log(|x|)      2     
           log (|x|)
sign⁡(x)log⁡(∣x∣)−sign⁡(x)log⁡(∣x∣)2\frac{\operatorname{sign}{\left(x \right)}}{\log{\left(\left|{x}\right| \right)}} - \frac{\operatorname{sign}{\left(x \right)}}{\log{\left(\left|{x}\right| \right)}^{2}}
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Segunda derivada [src] 
                  /    2                               2   \                   
                  |sign (x)   2*DiracDelta(x)    2*sign (x)|                   
                  |-------- - --------------- + -----------|*|x|               
                  |    2            |x|          2         |              2    
                  \   x                         x *log(|x|)/        2*sign (x) 
2*DiracDelta(x) + ---------------------------------------------- - ------------
                                     log(|x|)                      |x|*log(|x|)
-------------------------------------------------------------------------------
                                    log(|x|)
(−2δ(x)∣x∣+sign⁡2(x)x2+2sign⁡2(x)x2log⁡(∣x∣))∣x∣log⁡(∣x∣)+2δ(x)−2sign⁡2(x)log⁡(∣x∣)∣x∣log⁡(∣x∣)\frac{\frac{\left(- \frac{2 \delta\left(x\right)}{\left|{x}\right|} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}} + \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}}\right) \left|{x}\right|}{\log{\left(\left|{x}\right| \right)}} + 2 \delta\left(x\right) - \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{\log{\left(\left|{x}\right| \right)} \left|{x}\right|}}{\log{\left(\left|{x}\right| \right)}}
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Tercera derivada [src] 
                       /    2                                                          2              3                                            3      \         /    2                               2   \                                  
                       |sign (x)   DiracDelta(x, 1)   3*DiracDelta(x)*sign(x)    2*sign (x)       sign (x)      6*DiracDelta(x)*sign(x)      3*sign (x)   |         |sign (x)   2*DiracDelta(x)    2*sign (x)|                                  
                     2*|-------- + ---------------- - ----------------------- + ----------- + --------------- - ----------------------- + ----------------|*|x|   3*|-------- - --------------- + -----------|*sign(x)                          
                       |    3            |x|                      2              3             2                       2                   2        2     |         |    2            |x|          2         |                                  
                       \   x                                     x              x *log(|x|)   x *|x|*log(|x|)         x *log(|x|)         x *|x|*log (|x|)/         \   x                         x *log(|x|)/           6*DiracDelta(x)*sign(x)
2*DiracDelta(x, 1) - ------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------- - -----------------------
                                                                                      log(|x|)                                                                                          log(|x|)                               |x|*log(|x|)     
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                    log(|x|)
3(−2δ(x)∣x∣+sign⁡2(x)x2+2sign⁡2(x)x2log⁡(∣x∣))sign⁡(x)log⁡(∣x∣)−2(δ(1)(x)∣x∣−3δ(x)sign⁡(x)x2−6δ(x)sign⁡(x)x2log⁡(∣x∣)+sign⁡3(x)x2log⁡(∣x∣)∣x∣+3sign⁡3(x)x2log⁡(∣x∣)2∣x∣+sign⁡2(x)x3+2sign⁡2(x)x3log⁡(∣x∣))∣x∣log⁡(∣x∣)+2δ(1)(x)−6δ(x)sign⁡(x)log⁡(∣x∣)∣x∣log⁡(∣x∣)\frac{\frac{3 \left(- \frac{2 \delta\left(x\right)}{\left|{x}\right|} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}} + \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}}\right) \operatorname{sign}{\left(x \right)}}{\log{\left(\left|{x}\right| \right)}} - \frac{2 \left(\frac{\delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{3 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} - \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}} + \frac{\operatorname{sign}^{3}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)} \left|{x}\right|} + \frac{3 \operatorname{sign}^{3}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}^{2} \left|{x}\right|} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{3}} + \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{x^{3} \log{\left(\left|{x}\right| \right)}}\right) \left|{x}\right|}{\log{\left(\left|{x}\right| \right)}} + 2 \delta^{\left( 1 \right)}\left( x \right) - \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\log{\left(\left|{x}\right| \right)} \left|{x}\right|}}{\log{\left(\left|{x}\right| \right)}}
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Gráfico
Derivada de |x|/ln(|x|)
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