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Derivada de b
Derivada de (3x+6)^2
Derivada de 2*y-4
Derivada de 1/rootx
Expresiones idénticas
y=(tg(2x+ uno))^(tres /x)
y es igual a (tg(2x más 1)) en el grado (3 dividir por x)
y es igual a (tg(2x más uno)) en el grado (tres dividir por x)
y=(tg(2x+1))(3/x)
y=tg2x+13/x
y=tg2x+1^3/x
y=(tg(2x+1))^(3 dividir por x)
Expresiones semejantes
y=(tg(2x-1))^(3/x)

Derivada de la función/ (2x+1)/ y=(tg(2x+1))^(3/x)

Derivada de y=(tg(2x+1))^(3/x)

Solución

Ha introducido [src]

              3
              -
              x
(tan(2*x + 1))

\tan^{\frac{3}{x}}{\left(2 x + 1 \right)}

tan(2*x + 1)^(3/x)

Solución detallada

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

Perola derivada

$\left(\frac{3}{x}\right)^{\frac{3}{x}} \left(\log{\left(\frac{3}{x} \right)} + 1\right)$

Respuesta:

$\left(\frac{3}{x}\right)^{\frac{3}{x}} \left(\log{\left(\frac{3}{x} \right)} + 1\right)$

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

              3                                                  
              - /                          /         2         \\
              x |  3*log(tan(2*x + 1))   3*\2 + 2*tan (2*x + 1)/|
(tan(2*x + 1)) *|- ------------------- + -----------------------|
                |            2                x*tan(2*x + 1)    |
                \           x                                   /

\left(\frac{3 \left(2 \tan^{2}{\left(2 x + 1 \right)} + 2\right)}{x \tan{\left(2 x + 1 \right)}} - \frac{3 \log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{2}}\right) \tan^{\frac{3}{x}}{\left(2 x + 1 \right)}

Simplificar

Segunda derivada [src]

                  /                                                                                                                    2                        \
                  |                                                                       /                        /       2         \\                         |
                3 |                                           2                           |  log(tan(1 + 2*x))   2*\1 + tan (1 + 2*x)/|                         |
                - |                        /       2         \                          3*|- ----------------- + ---------------------|      /       2         \|
                x |         2            4*\1 + tan (1 + 2*x)/    2*log(tan(1 + 2*x))     \          x                tan(1 + 2*x)    /    4*\1 + tan (1 + 2*x)/|
3*(tan(1 + 2*x)) *|8 + 8*tan (1 + 2*x) - ---------------------- + ------------------- + ------------------------------------------------ - ---------------------|
                  |                             2                           2                                  x                               x*tan(1 + 2*x)   |
                  \                          tan (1 + 2*x)                 x                                                                                    /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                x

\frac{3 \left(- \frac{4 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{\tan^{2}{\left(2 x + 1 \right)}} + 8 \tan^{2}{\left(2 x + 1 \right)} + 8 + \frac{3 \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{\tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x}\right)^{2}}{x} - \frac{4 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x \tan{\left(2 x + 1 \right)}} + \frac{2 \log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{2}}\right) \tan^{\frac{3}{x}}{\left(2 x + 1 \right)}}{x}

Simplificar

Tercera derivada [src]

                  /                                                                                                                                                                                                                                               /                                                                2                        \                                                   \
                  |                                                                                                                          3                                                                      /                        /       2         \\ |                                             /       2         \      /       2         \|                                                   |
                  |                                                                             /                        /       2         \\                                                                       |  log(tan(1 + 2*x))   2*\1 + tan (1 + 2*x)/| |          2            log(tan(1 + 2*x))   2*\1 + tan (1 + 2*x)/    2*\1 + tan (1 + 2*x)/|                                                   |
                3 |                        2                                                    |  log(tan(1 + 2*x))   2*\1 + tan (1 + 2*x)/|                          3                                         18*|- ----------------- + ---------------------|*|-4 - 4*tan (1 + 2*x) - ----------------- + ---------------------- + ---------------------|                         2                         |
                - |     /       2         \       /       2         \                         9*|- ----------------- + ---------------------|       /       2         \                                             \          x                tan(1 + 2*x)    / |                                2                 2                     x*tan(1 + 2*x)   |      /       2         \       /       2         \|
                x |  32*\1 + tan (1 + 2*x)/    24*\1 + tan (1 + 2*x)/   6*log(tan(1 + 2*x))     \          x                tan(1 + 2*x)    /    16*\1 + tan (1 + 2*x)/       /       2         \                                                                 \                               x               tan (1 + 2*x)                             /   12*\1 + tan (1 + 2*x)/    12*\1 + tan (1 + 2*x)/|
3*(tan(1 + 2*x)) *|- ----------------------- - ---------------------- - ------------------- + ------------------------------------------------ + ----------------------- + 32*\1 + tan (1 + 2*x)/*tan(1 + 2*x) - -------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------- + ----------------------|
                  |        tan(1 + 2*x)                  x                        3                                   2                                  3                                                                                                                            x                                                                                  2                    2                 |
                  \                                                              x                                   x                                tan (1 + 2*x)                                                                                                                                                                                                 x*tan (1 + 2*x)          x *tan(1 + 2*x)    /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                        x

\frac{3 \left(\frac{16 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{3}}{\tan^{3}{\left(2 x + 1 \right)}} - \frac{32 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{\tan{\left(2 x + 1 \right)}} + 32 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \tan{\left(2 x + 1 \right)} - \frac{18 \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{\tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x}\right) \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{\tan^{2}{\left(2 x + 1 \right)}} - 4 \tan^{2}{\left(2 x + 1 \right)} - 4 + \frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x \tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{2}}\right)}{x} + \frac{12 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{x \tan^{2}{\left(2 x + 1 \right)}} - \frac{24 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x} + \frac{9 \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{\tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x}\right)^{3}}{x^{2}} + \frac{12 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x^{2} \tan{\left(2 x + 1 \right)}} - \frac{6 \log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{3}}\right) \tan^{\frac{3}{x}}{\left(2 x + 1 \right)}}{x}

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Gráfico

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Expresiones idénticas

Expresiones semejantes

Derivada de y=(tg(2x+1))^(3/x)

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Solución