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√(xln(2x))
Derivada de la función/ xln(2x)/ √(xln(2x))

Derivada de √(xln(2x))

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

Ha introducido [src] 
  ____________
\/ x*log(2*x)
xlog⁡(2x)\sqrt{x \log{\left(2 x \right)}} 
sqrt(x*log(2*x))
Gráfica
02468-8-6-4-2-1010010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
  ____________ /1   log(2*x)\
\/ x*log(2*x) *|- + --------|
               \2      2    /
-----------------------------
          x*log(2*x)
xlog⁡(2x)(log⁡(2x)2+12)xlog⁡(2x)\frac{\sqrt{x \log{\left(2 x \right)}} \left(\frac{\log{\left(2 x \right)}}{2} + \frac{1}{2}\right)}{x \log{\left(2 x \right)}}
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Segunda derivada [src] 
               /                            2                   \
  ____________ |              (1 + log(2*x))    2*(1 + log(2*x))|
\/ x*log(2*x) *|-2*log(2*x) + --------------- - ----------------|
               \                  log(2*x)          log(2*x)    /
-----------------------------------------------------------------
                             2                                   
                          4*x *log(2*x)
xlog⁡(2x)((log⁡(2x)+1)2log⁡(2x)−2(log⁡(2x)+1)log⁡(2x)−2log⁡(2x))4x2log⁡(2x)\frac{\sqrt{x \log{\left(2 x \right)}} \left(\frac{\left(\log{\left(2 x \right)} + 1\right)^{2}}{\log{\left(2 x \right)}} - \frac{2 \left(\log{\left(2 x \right)} + 1\right)}{\log{\left(2 x \right)}} - 2 \log{\left(2 x \right)}\right)}{4 x^{2} \log{\left(2 x \right)}}
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Tercera derivada [src] 
               /                                                2                   2                 3                              \
  ____________ |  1      1       1 + log(2*x)   3*(1 + log(2*x))    3*(1 + log(2*x))    (1 + log(2*x))    9*(1 + log(2*x))           |
\/ x*log(2*x) *|- - - -------- + ------------ - ----------------- - ----------------- + --------------- + ---------------- + log(2*x)|
               |  2   log(2*x)       2              4*log(2*x)              2                  2             4*log(2*x)              |
               \                  log (2*x)                            4*log (2*x)        8*log (2*x)                                /
--------------------------------------------------------------------------------------------------------------------------------------
                                                              3                                                                       
                                                             x *log(2*x)
xlog⁡(2x)((log⁡(2x)+1)38log⁡(2x)2−3(log⁡(2x)+1)24log⁡(2x)−3(log⁡(2x)+1)24log⁡(2x)2+9(log⁡(2x)+1)4log⁡(2x)+log⁡(2x)+1log⁡(2x)2+log⁡(2x)−12−1log⁡(2x))x3log⁡(2x)\frac{\sqrt{x \log{\left(2 x \right)}} \left(\frac{\left(\log{\left(2 x \right)} + 1\right)^{3}}{8 \log{\left(2 x \right)}^{2}} - \frac{3 \left(\log{\left(2 x \right)} + 1\right)^{2}}{4 \log{\left(2 x \right)}} - \frac{3 \left(\log{\left(2 x \right)} + 1\right)^{2}}{4 \log{\left(2 x \right)}^{2}} + \frac{9 \left(\log{\left(2 x \right)} + 1\right)}{4 \log{\left(2 x \right)}} + \frac{\log{\left(2 x \right)} + 1}{\log{\left(2 x \right)}^{2}} + \log{\left(2 x \right)} - \frac{1}{2} - \frac{1}{\log{\left(2 x \right)}}\right)}{x^{3} \log{\left(2 x \right)}}
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Gráfico
Derivada de √(xln(2x))
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