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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|)
$$\log{\left(\left|{x}\right| \right)} \left|{x}\right|$$ 
|x|*log(|x|)
Gráfica
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
log(|x|)*sign(x) + sign(x)
$$\log{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)} + \operatorname{sign}{\left(x \right)}$$
Simplificar
Segunda derivada [src] 
/      2                     \             2                              
|  sign (x)   2*DiracDelta(x)|       2*sign (x)                           
|- -------- + ---------------|*|x| + ---------- + 2*DiracDelta(x)*log(|x|)
|      2            |x|      |          |x|                               
\     x                      /
$$\left(\frac{2 \delta\left(x\right)}{\left|{x}\right|} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) \left|{x}\right| + 2 \log{\left(\left|{x}\right| \right)} \delta\left(x\right) + \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{\left|{x}\right|}$$
Simplificar
Tercera derivada [src] 
  /    2                                                \                                       /      2                     \                                  
  |sign (x)   DiracDelta(x, 1)   3*DiracDelta(x)*sign(x)|                                       |  sign (x)   2*DiracDelta(x)|           6*DiracDelta(x)*sign(x)
2*|-------- + ---------------- - -----------------------|*|x| + 2*DiracDelta(x, 1)*log(|x|) + 3*|- -------- + ---------------|*sign(x) + -----------------------
  |    3            |x|                      2          |                                       |      2            |x|      |                     |x|          
  \   x                                     x           /                                       \     x                      /
$$3 \left(\frac{2 \delta\left(x\right)}{\left|{x}\right|} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) \operatorname{sign}{\left(x \right)} + 2 \left(\frac{\delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{3 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{3}}\right) \left|{x}\right| + 2 \log{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) + \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}$$
Simplificar
Gráfico
Derivada de |x|*ln(|x|)
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