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x^(log(x)*log(x))
Derivada de la función/ log(x)/ x^(log(x)*log(x))

Derivada de x^(log(x)*log(x))

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

Ha introducido [src] 
 log(x)*log(x)
x
xlog⁡(x)log⁡(x)x^{\log{\left(x \right)} \log{\left(x \right)}} 
x^(log(x)*log(x))
Solución detallada

  1. No logro encontrar los pasos en la búsqueda de esta derivada.

    Perola derivada

    (log⁡(x)log⁡(x))log⁡(x)log⁡(x)(log⁡(log⁡(x)log⁡(x))+1)\left(\log{\left(x \right)} \log{\left(x \right)}\right)^{\log{\left(x \right)} \log{\left(x \right)}} \left(\log{\left(\log{\left(x \right)} \log{\left(x \right)} \right)} + 1\right)

  2. Simplificamos:

    (log⁡(log⁡(x)2)+1)(log⁡(x)2)log⁡(x)2\left(\log{\left(\log{\left(x \right)}^{2} \right)} + 1\right) \left(\log{\left(x \right)}^{2}\right)^{\log{\left(x \right)}^{2}}

Respuesta:

(log⁡(log⁡(x)2)+1)(log⁡(x)2)log⁡(x)2\left(\log{\left(\log{\left(x \right)}^{2} \right)} + 1\right) \left(\log{\left(x \right)}^{2}\right)^{\log{\left(x \right)}^{2}}

Gráfica
02468-8-6-4-2-10100500000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   log(x)*log(x)    2   
3*x             *log (x)
------------------------
           x
3xlog⁡(x)log⁡(x)log⁡(x)2x\frac{3 x^{\log{\left(x \right)} \log{\left(x \right)}} \log{\left(x \right)}^{2}}{x}
Simplificar
Segunda derivada [src] 
      2                                   
   log (x) /                  3   \       
3*x       *\2 - log(x) + 3*log (x)/*log(x)
------------------------------------------
                     2                    
                    x
3xlog⁡(x)2(3log⁡(x)3−log⁡(x)+2)log⁡(x)x2\frac{3 x^{\log{\left(x \right)}^{2}} \left(3 \log{\left(x \right)}^{3} - \log{\left(x \right)} + 2\right) \log{\left(x \right)}}{x^{2}}
Simplificar
Tercera derivada [src] 
      2                                                                   
   log (x) /         4                      2           6            3   \
3*x       *\2 - 9*log (x) - 6*log(x) + 2*log (x) + 9*log (x) + 18*log (x)/
--------------------------------------------------------------------------
                                     3                                    
                                    x
3xlog⁡(x)2(9log⁡(x)6−9log⁡(x)4+18log⁡(x)3+2log⁡(x)2−6log⁡(x)+2)x3\frac{3 x^{\log{\left(x \right)}^{2}} \left(9 \log{\left(x \right)}^{6} - 9 \log{\left(x \right)}^{4} + 18 \log{\left(x \right)}^{3} + 2 \log{\left(x \right)}^{2} - 6 \log{\left(x \right)} + 2\right)}{x^{3}}
Simplificar
Gráfico
Derivada de x^(log(x)*log(x))
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