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(((x*tg(x)*(6*x+2)^(1/5))/((x^3-1)^9*lnx)))^1/4

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  • Derivada de:
  • Derivada de (27/10)*t+(3/4) Derivada de (27/10)*t+(3/4)
  • Derivada de y(x)=tg5x Derivada de y(x)=tg5x
  • Derivada de (1+7x)^4 Derivada de (1+7x)^4
  • Derivada de y=x²√x Derivada de y=x²√x

  • Expresiones idénticas

  • (((x*tg(x)*(seis *x+ dos)^(uno / cinco))/((x^ tres - uno)^ nueve *lnx)))^ uno / cuatro
  • (((x multiplicar por tg(x) multiplicar por (6 multiplicar por x más 2) en el grado (1 dividir por 5)) dividir por ((x al cubo menos 1) en el grado 9 multiplicar por lnx))) en el grado 1 dividir por 4
  • (((x multiplicar por tg(x) multiplicar por (seis multiplicar por x más dos) en el grado (uno dividir por cinco)) dividir por ((x en el grado tres menos uno) en el grado nueve multiplicar por lnx))) en el grado uno dividir por cuatro
  • (((x*tg(x)*(6*x+2)(1/5))/((x3-1)9*lnx)))1/4
  • x*tgx*6*x+21/5/x3-19*lnx1/4
  • (((x*tg(x)*(6*x+2)^(1/5))/((x³-1)⁹*lnx)))^1/4
  • (((x*tg(x)*(6*x+2) en el grado (1/5))/((x en el grado 3-1) en el grado 9*lnx))) en el grado 1/4
  • (((xtg(x)(6x+2)^(1/5))/((x^3-1)^9lnx)))^1/4
  • (((xtg(x)(6x+2)(1/5))/((x3-1)9lnx)))1/4
  • xtgx6x+21/5/x3-19lnx1/4
  • xtgx6x+2^1/5/x^3-1^9lnx^1/4
  • (((x*tg(x)*(6*x+2)^(1 dividir por 5)) dividir por ((x^3-1)^9*lnx)))^1 dividir por 4

  • Expresiones semejantes

  • (((x*tg(x)*(6*x-2)^(1/5))/((x^3-1)^9*lnx)))^1/4
  • (((x*tg(x)*(6*x+2)^(1/5))/((x^3+1)^9*lnx)))^1/4
Derivada de la función/ (((x*tg(x)*(6*x+2)^(1/5))/((x^3-1)^9*lnx)))^1/4

Derivada de (((x*tg(x)*(6*x+2)^(1/5))/((x^3-1)^9*lnx)))^1/4

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
       ______________________
      /          5 _________ 
     /  x*tan(x)*\/ 6*x + 2  
    /   -------------------- 
   /              9          
4 /       / 3    \           
\/        \x  - 1/ *log(x)
xtan⁡(x)6x+25(x3−1)9log⁡(x)4\sqrt[4]{\frac{x \tan{\left(x \right)} \sqrt[5]{6 x + 2}}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}}} 
(((x*tan(x))*(6*x + 2)^(1/5))/(((x^3 - 1)^9*log(x))))^(1/4)
Gráfica
02468-8-6-4-2-1010-20002000
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Trazar el gráfico f'(x)
Primera derivada [src] 
                                                        /       1         /5 _________ /  /       2   \         \     6*x*tan(x)  \                 /          9                         \       \       
                                                        |----------------*|\/ 6*x + 2 *\x*\1 + tan (x)/ + tan(x)/ + --------------|                 |  / 3    \                  8       |       |       
                                                        |        9        |                                                    4/5|     5 _________ |  \x  - 1/        2 / 3    \        |       |       
      _______________________________________         9 |/ 3    \         \                                         5*(6*x + 2)   /   x*\/ 6*x + 2 *|- --------- - 27*x *\x  - 1/ *log(x)|*tan(x)|       
     /   5 _________        1                 / 3    \  |\x  - 1/ *log(x)                                                                           \      x                             /       |       
    /  x*\/ 6*x + 2 *----------------*tan(x) *\x  - 1/ *|-------------------------------------------------------------------------- + -----------------------------------------------------------|*log(x)
   /                         9                          |                                    4                                                                      18                           |       
4 /                  / 3    \                           |                                                                                                   / 3    \      2                      |       
\/                   \x  - 1/ *log(x)                   \                                                                                                 4*\x  - 1/  *log (x)                   /       
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                             5 _________                                                                                                 
                                                                                           x*\/ 6*x + 2 *tan(x)
x1(x3−1)9log⁡(x)6x+25tan⁡(x)4(x3−1)9(x6x+25(−27x2(x3−1)8log⁡(x)−(x3−1)9x)tan⁡(x)4(x3−1)18log⁡(x)2+1(x3−1)9log⁡(x)(6xtan⁡(x)5(6x+2)45+6x+25(x(tan⁡2(x)+1)+tan⁡(x)))4)log⁡(x)x6x+25tan⁡(x)\frac{\sqrt[4]{x \frac{1}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}} \sqrt[5]{6 x + 2} \tan{\left(x \right)}} \left(x^{3} - 1\right)^{9} \left(\frac{x \sqrt[5]{6 x + 2} \left(- 27 x^{2} \left(x^{3} - 1\right)^{8} \log{\left(x \right)} - \frac{\left(x^{3} - 1\right)^{9}}{x}\right) \tan{\left(x \right)}}{4 \left(x^{3} - 1\right)^{18} \log{\left(x \right)}^{2}} + \frac{\frac{1}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}} \left(\frac{6 x \tan{\left(x \right)}}{5 \left(6 x + 2\right)^{\frac{4}{5}}} + \sqrt[5]{6 x + 2} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{4}\right) \log{\left(x \right)}}{x \sqrt[5]{6 x + 2} \tan{\left(x \right)}}
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Segunda derivada [src] 
                                    /                                                                                                                    /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /           2                                                         \       \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \
                                    |                                                                                                                    |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |  /      3\                                                          |       |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |
                                    |                                                                                                                    |                                                                                                                                                                                                                                               /      3               \                         /      3               \                              /      3               \               /      3               \                                         /      3               \        5 _________ |  \-1 + x /         /      3\        4               /      3\       |       |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |
                                    |  /                                                                            /      3               \       \     |                                                                                                                                                                                                                                   5 _________ |-1 + x        2       |             5 _________ |-1 + x        2       |                3 5 _________ |-1 + x        2       |               |-1 + x        2       |               5 _________ /       2   \ |-1 + x        2       |   25*x*\/ 1 + 3*x *|- ---------- + 54*x*\-1 + x / + 648*x *log(x) + 54*x*\-1 + x /*log(x)|*tan(x)|         /                                                                            /      3               \       \     /                                                                            /      3               \       \      /                                                                            /      3               \       \                   /                                                                            /      3               \       \   /                                                                            /      3               \       \                                                                                                                    |
                                    |  |                                                                5 _________ |-1 + x        2       |       |     |                                                             /  /       2   \         \                    /                2 \                                                                  /       2   \                  50*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)   25*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)   1350*x *\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)   15*x*|------- + 27*x *log(x)|*tan(x)   25*x*\/ 1 + 3*x *\1 + tan (x)/*|------- + 27*x *log(x)|                    |       2                                                             |       |         |                                                                5 _________ |-1 + x        2       |       |     |                                                                5 _________ |-1 + x        2       |       |      |                                                                5 _________ |-1 + x        2       |       |                   |                                                                5 _________ |-1 + x        2       |       |   |                                                                5 _________ |-1 + x        2       |       |                                                                                                                    |
                                    |  |                                                            5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)|     |     5 _________ /       2        /       2   \       \   15*\x*\1 + tan (x)/ + tan(x)/    15*tan(x)       |   1        27*x  | /  5 _________ /  /       2   \         \    3*x*tan(x) \   15*x*\1 + tan (x)/   36*x*tan(x)                   \   x                  /                         \   x                  /                              \   x                  /               \   x                  /                                         \   x                  /                    \      x                                                              /       |         |                                                            5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)|     |                                                            5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)|      |                                                            5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)|                   |                                                            5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)|   |                                                            5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| /                                                                                      /                2 \       \|
                                    |  |    5 _________ /  /       2   \         \    3*x*tan(x)                    \   x                  /       |   4*|- 50*\/ 1 + 3*x *\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ - ----------------------------- - ------------ + 5*|-------- + -------|*|5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ + ------------| - ------------------ + ------------ - ---------------------------------------------- + ---------------------------------------------- - --------------------------------------------------- + ------------------------------------ + ------------------------------------------------------- + -----------------------------------------------------------------------------------------------|         |    5 _________ /  /       2   \         \    3*x*tan(x)                    \   x                  /       |     |    5 _________ /  /       2   \         \    3*x*tan(x)                    \   x                  /       |      |    5 _________ /  /       2   \         \    3*x*tan(x)                    \   x                  /       |     /       2   \ |    5 _________ /  /       2   \         \    3*x*tan(x)                    \   x                  /       |   |    5 _________ /  /       2   \         \    3*x*tan(x)                    \   x                  /       | |  5 _________           3*x*tan(x)        5 _________ /       2   \       5 _________ |   1        27*x  |       ||
             ______________________ |4*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|     |                                                                            4/5                    4/5     |x*log(x)         3| |                                                    4/5|               4/5               9/5                 /      3\    2                                    /      3\                                                   2                                       4/5 /      3\                                  /      3\                                                                             2                                              |   108*x*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|   4*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|   12*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|   4*\1 + tan (x)/*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|   |- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|*|5*\/ 1 + 3*x *tan(x) + ------------ + 5*x*\/ 1 + 3*x *\1 + tan (x)/ - 5*x*\/ 1 + 3*x *|-------- + -------|*tan(x)||
            /   5 _________         |  |                                                      4/5                   /      3\                      |     |                                                                   (1 + 3*x)              (1 + 3*x)        \           -1 + x / \                                           (1 + 3*x)   /      (1 + 3*x)         (1 + 3*x)                    \-1 + x /*log (x)                                 \-1 + x /*log(x)                                   /      3\                               (1 + 3*x)   *\-1 + x /*log(x)                           \-1 + x /*log(x)                                                             /      3\                                               |         |                                                      4/5                   /      3\                      |     |                                                      4/5                   /      3\                      |      |                                                      4/5                   /      3\                      |                   |                                                      4/5                   /      3\                      |   |                                                      4/5                   /      3\                      | |                                4/5                                                   |x*log(x)         3|       ||
20___      /  x*\/ 1 + 3*x *tan(x)  |  \                                             (1 + 3*x)                      \-1 + x /*log(x)               /     \                                                                                                                                                                                                                                                                                                                                                   \-1 + x / *log(x)                                                                                                                                                            \-1 + x / *log(x)                                       /         \                                             (1 + 3*x)                      \-1 + x /*log(x)               /     \                                             (1 + 3*x)                      \-1 + x /*log(x)               /      \                                             (1 + 3*x)                      \-1 + x /*log(x)               /                   \                                             (1 + 3*x)                      \-1 + x /*log(x)               /   \                                             (1 + 3*x)                      \-1 + x /*log(x)               / \                       (1 + 3*x)                                                      \           -1 + x /       /|
\/ 2 *    /   -------------------- *|--------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
         /              9           |                                                        2                                                                                                                                                                                                                                                                                                                                                     5*x                                                                                                                                                                                                                                                                                                                                                            3                                                                                                             2                                                                                                              5*x*(1 + 3*x)                                                                                                                x*tan(x)                                                                                                                                                                     2 5 _________                                                                                                            |
      4 /      /      3\            \                                                       x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               -1 + x                                                                                                             x *log(x)                                                                                                                                                                                                                                                                                                                                                                                                              5*x *\/ 1 + 3*x *tan(x)                                                                                                     /
      \/       \-1 + x / *log(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  5 _________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               80*\/ 1 + 3*x *tan(x)
220x3x+15tan⁡(x)(x3−1)9log⁡(x)4(−108x(5x3x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−3xtan⁡(x)(3x+1)45−53x+15(x(tan⁡2(x)+1)+tan⁡(x)))x3−1+4(tan⁡2(x)+1)(5x3x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−3xtan⁡(x)(3x+1)45−53x+15(x(tan⁡2(x)+1)+tan⁡(x)))xtan⁡(x)−4(−1350x33x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)2log⁡(x)+25x3x+15(27x2log⁡(x)+x3−1x)(tan⁡2(x)+1)(x3−1)log⁡(x)+25x3x+15(648x4log⁡(x)+54x(x3−1)log⁡(x)+54x(x3−1)−(x3−1)2x2)tan⁡(x)(x3−1)2log⁡(x)−15x(tan⁡2(x)+1)(3x+1)45+15x(27x2log⁡(x)+x3−1x)tan⁡(x)(3x+1)45(x3−1)log⁡(x)+36xtan⁡(x)(3x+1)95−503x+15(x(tan⁡2(x)+1)tan⁡(x)+tan⁡2(x)+1)+253x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−503x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)2+5(27x2x3−1+1xlog⁡(x))(3xtan⁡(x)(3x+1)45+53x+15(x(tan⁡2(x)+1)+tan⁡(x)))−15(x(tan⁡2(x)+1)+tan⁡(x))(3x+1)45−15tan⁡(x)(3x+1)45)5x+12(5x3x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−3xtan⁡(x)(3x+1)45−53x+15(x(tan⁡2(x)+1)+tan⁡(x)))5x(3x+1)+4(5x3x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−3xtan⁡(x)(3x+1)45−53x+15(x(tan⁡2(x)+1)+tan⁡(x)))x2−4(5x3x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−3xtan⁡(x)(3x+1)45−53x+15(x(tan⁡2(x)+1)+tan⁡(x)))x2log⁡(x)−(5x3x+15(27x2log⁡(x)+x3−1x)tan⁡(x)(x3−1)log⁡(x)−3xtan⁡(x)(3x+1)45−53x+15(x(tan⁡2(x)+1)+tan⁡(x)))(−5x3x+15(27x2x3−1+1xlog⁡(x))tan⁡(x)+5x3x+15(tan⁡2(x)+1)+3xtan⁡(x)(3x+1)45+53x+15tan⁡(x))5x23x+15tan⁡(x))803x+15tan⁡(x)\frac{\sqrt[20]{2} \sqrt[4]{\frac{x \sqrt[5]{3 x + 1} \tan{\left(x \right)}}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}}} \left(- \frac{108 x \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x^{3} - 1} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x \tan{\left(x \right)}} - \frac{4 \left(- \frac{1350 x^{3} \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right)^{2} \log{\left(x \right)}} + \frac{25 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\left(x^{3} - 1\right) \log{\left(x \right)}} + \frac{25 x \sqrt[5]{3 x + 1} \left(648 x^{4} \log{\left(x \right)} + 54 x \left(x^{3} - 1\right) \log{\left(x \right)} + 54 x \left(x^{3} - 1\right) - \frac{\left(x^{3} - 1\right)^{2}}{x^{2}}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right)^{2} \log{\left(x \right)}} - \frac{15 x \left(\tan^{2}{\left(x \right)} + 1\right)}{\left(3 x + 1\right)^{\frac{4}{5}}} + \frac{15 x \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}} \left(x^{3} - 1\right) \log{\left(x \right)}} + \frac{36 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{9}{5}}} - 50 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right) + \frac{25 \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{50 \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}^{2}} + 5 \left(\frac{27 x^{2}}{x^{3} - 1} + \frac{1}{x \log{\left(x \right)}}\right) \left(\frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} + 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right) - \frac{15 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\left(3 x + 1\right)^{\frac{4}{5}}} - \frac{15 \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}}\right)}{5 x} + \frac{12 \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{5 x \left(3 x + 1\right)} + \frac{4 \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x^{2}} - \frac{4 \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x^{2} \log{\left(x \right)}} - \frac{\left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right) \left(- 5 x \sqrt[5]{3 x + 1} \left(\frac{27 x^{2}}{x^{3} - 1} + \frac{1}{x \log{\left(x \right)}}\right) \tan{\left(x \right)} + 5 x \sqrt[5]{3 x + 1} \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} + 5 \sqrt[5]{3 x + 1} \tan{\left(x \right)}\right)}{5 x^{2} \sqrt[5]{3 x + 1} \tan{\left(x \right)}}\right)}{80 \sqrt[5]{3 x + 1} \tan{\left(x \right)}}
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Gráfico
Derivada de (((x*tg(x)*(6*x+2)^(1/5))/((x^3-1)^9*lnx)))^1/4
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