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Derivada de la función/ xlog|x|-3x

Derivada de xlog|x|-3x

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

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Solución

Ha introducido [src] 
x*log(|x|) - 3*x
$$x \log{\left(\left|{x}\right| \right)} - 3 x$$ 
x*log(|x|) - 3*x
Primera derivada [src] 
     x*sign(x)           
-3 + --------- + log(|x|)
        |x|
$$\frac{x \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} + \log{\left(\left|{x}\right| \right)} - 3$$
Simplificar
Segunda derivada [src] 
      2                                   
  sign (x)   2*sign(x)   2*x*DiracDelta(x)
- -------- + --------- + -----------------
     x          |x|             |x|
$$\frac{2 x \delta\left(x\right)}{\left|{x}\right|} + \frac{2 \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x}$$
Simplificar
Tercera derivada [src] 
      2                                                                      
  sign (x)   6*DiracDelta(x)   6*DiracDelta(x)*sign(x)   2*x*DiracDelta(x, 1)
- -------- + --------------- - ----------------------- + --------------------
      2            |x|                    x                      |x|         
     x
$$\frac{2 x \delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} + \frac{6 \delta\left(x\right)}{\left|{x}\right|} - \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}}$$
Simplificar
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