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x*log(x*log(3,x),2)+e^tgx
Derivada de la función/ x*log/ e^tgx/ x*log(x*log(3,x),2)+e^tgx

Derivada de x*log(x*log(3,x),2)+e^tgx

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
     /  log(3)   \    tan(x)
x*log|x*------, 2| + E      
     \  log(x)   /
etan⁡(x)+xlog⁡(xlog⁡(3)log⁡(x))e^{\tan{\left(x \right)}} + x \log{\left(x \frac{\log{\left(3 \right)}}{\log{\left(x \right)}} \right)} 
x*log(x*(log(3)/log(x)), 2) + E^tan(x)
Gráfica
02468-8-6-4-2-101002000000000000000
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Primera derivada [src] 
                        /log(3)    log(3)\                          
                        |------ - -------|*log(x)                   
                        |log(x)      2   |                          
/       2   \  tan(x)   \         log (x)/             /  log(3)   \
\1 + tan (x)/*e       + ------------------------- + log|x*------, 2|
                                  log(3)               \  log(x)   /
(log⁡(3)log⁡(x)−log⁡(3)log⁡(x)2)log⁡(x)log⁡(3)+(tan⁡2(x)+1)etan⁡(x)+log⁡(xlog⁡(3)log⁡(x))\frac{\left(\frac{\log{\left(3 \right)}}{\log{\left(x \right)}} - \frac{\log{\left(3 \right)}}{\log{\left(x \right)}^{2}}\right) \log{\left(x \right)}}{\log{\left(3 \right)}} + \left(\tan^{2}{\left(x \right)} + 1\right) e^{\tan{\left(x \right)}} + \log{\left(x \frac{\log{\left(3 \right)}}{\log{\left(x \right)}} \right)}
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Segunda derivada [src] 
      1                                     1            2                                    
1 - ------                2           1 - ------   1 - ------                                 
    log(x)   /       2   \   tan(x)       log(x)       log(x)     /       2   \  tan(x)       
---------- + \1 + tan (x)/ *e       + ---------- - ---------- + 2*\1 + tan (x)/*e      *tan(x)
    x                                  x*log(x)     x*log(x)
(tan⁡2(x)+1)2etan⁡(x)+2(tan⁡2(x)+1)etan⁡(x)tan⁡(x)−1−2log⁡(x)xlog⁡(x)+1−1log⁡(x)x+1−1log⁡(x)xlog⁡(x)\left(\tan^{2}{\left(x \right)} + 1\right)^{2} e^{\tan{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) e^{\tan{\left(x \right)}} \tan{\left(x \right)} - \frac{1 - \frac{2}{\log{\left(x \right)}}}{x \log{\left(x \right)}} + \frac{1 - \frac{1}{\log{\left(x \right)}}}{x} + \frac{1 - \frac{1}{\log{\left(x \right)}}}{x \log{\left(x \right)}}
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Tercera derivada [src] 
                                                                        6                                                                                                     
                               1                                 1 - -------         2        /      2   \                                                                    
             3           1 - ------                  2                  2      1 - ------   2*|1 - ------|                                                    2               
/       2   \   tan(x)       log(x)     /       2   \   tan(x)       log (x)       log(x)     \    log(x)/        2    /       2   \  tan(x)     /       2   \   tan(x)       
\1 + tan (x)/ *e       - ---------- + 2*\1 + tan (x)/ *e       + ----------- - ---------- - -------------- + 4*tan (x)*\1 + tan (x)/*e       + 6*\1 + tan (x)/ *e      *tan(x)
                              2                                    2            2              2    2                                                                         
                             x                                    x *log(x)    x *log(x)      x *log (x)
(tan⁡2(x)+1)3etan⁡(x)+6(tan⁡2(x)+1)2etan⁡(x)tan⁡(x)+2(tan⁡2(x)+1)2etan⁡(x)+4(tan⁡2(x)+1)etan⁡(x)tan⁡2(x)+1−6log⁡(x)2x2log⁡(x)−1−2log⁡(x)x2log⁡(x)−2(1−2log⁡(x))x2log⁡(x)2−1−1log⁡(x)x2\left(\tan^{2}{\left(x \right)} + 1\right)^{3} e^{\tan{\left(x \right)}} + 6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} e^{\tan{\left(x \right)}} \tan{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} e^{\tan{\left(x \right)}} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) e^{\tan{\left(x \right)}} \tan^{2}{\left(x \right)} + \frac{1 - \frac{6}{\log{\left(x \right)}^{2}}}{x^{2} \log{\left(x \right)}} - \frac{1 - \frac{2}{\log{\left(x \right)}}}{x^{2} \log{\left(x \right)}} - \frac{2 \left(1 - \frac{2}{\log{\left(x \right)}}\right)}{x^{2} \log{\left(x \right)}^{2}} - \frac{1 - \frac{1}{\log{\left(x \right)}}}{x^{2}}
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Gráfico
Derivada de x*log(x*log(3,x),2)+e^tgx
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