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Derivada de:
Derivada de 1/t
Derivada de x^(2/5)
Derivada de 1/ln(x)
Derivada de f(x)=√x
Expresiones idénticas
y=ctg(dos x)^x^2
y es igual a ctg(2x) en el grado x al cuadrado
y es igual a ctg(dos x) en el grado x al cuadrado
y=ctg(2x)x2
y=ctg2xx2
y=ctg(2x)^x²
y=ctg(2x) en el grado x en el grado 2
y=ctg2x^x^2

Derivada de la función/ y=ctg/ tg(2x)/ y=ctg(2x)^x^2

Derivada de y=ctg(2x)^x^2

Solución

Ha introducido [src]

          / 2\
          \x /
(cot(2*x))

$$\cot^{x^{2}}{\left(2 x \right)}$$

cot(2*x)^(x^2)

Solución detallada

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

Perola derivada

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

Respuesta:

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

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

          / 2\ /                     2 /          2     \\
          \x / |                    x *\-2 - 2*cot (2*x)/|
(cot(2*x))    *|2*x*log(cot(2*x)) + ---------------------|
               \                           cot(2*x)      /

$$\left(\frac{x^{2} \left(- 2 \cot^{2}{\left(2 x \right)} - 2\right)}{\cot{\left(2 x \right)}} + 2 x \log{\left(\cot{\left(2 x \right)} \right)}\right) \cot^{x^{2}}{\left(2 x \right)}$$

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Segunda derivada [src]

                 /                                         2                                                                    2                \
            / 2\ |     /                   /       2     \\                               /       2     \      2 /       2     \                 |
            \x / |   2 |                 x*\1 + cot (2*x)/|       2 /       2     \   4*x*\1 + cot (2*x)/   2*x *\1 + cot (2*x)/                 |
2*(cot(2*x))    *|2*x *|-log(cot(2*x)) + -----------------|  + 4*x *\1 + cot (2*x)/ - ------------------- - --------------------- + log(cot(2*x))|
                 |     \                      cot(2*x)    /                                 cot(2*x)                 2                           |
                 \                                                                                                cot (2*x)                      /

$$2 \left(2 x^{2} \left(\frac{x \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot{\left(2 x \right)}} - \log{\left(\cot{\left(2 x \right)} \right)}\right)^{2} - \frac{2 x^{2} \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2}}{\cot^{2}{\left(2 x \right)}} + 4 x^{2} \left(\cot^{2}{\left(2 x \right)} + 1\right) - \frac{4 x \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot{\left(2 x \right)}} + \log{\left(\cot{\left(2 x \right)} \right)}\right) \cot^{x^{2}}{\left(2 x \right)}$$

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Tercera derivada [src]

                 /                  /                                                                              2                      \                                            3                                            /                                                            2                      \\
            / 2\ |                  |                                      2 /       2     \      2 /       2     \        /       2     \|        /                   /       2     \\        /                   /       2     \\ |                                           2 /       2     \        /       2     \||
            \x / |  /       2     \ |           3          2            8*x *\1 + cot (2*x)/   4*x *\1 + cot (2*x)/    6*x*\1 + cot (2*x)/|      3 |                 x*\1 + cot (2*x)/|        |                 x*\1 + cot (2*x)/| |                    2 /       2     \   2*x *\1 + cot (2*x)/    4*x*\1 + cot (2*x)/||
4*(cot(2*x))    *|- \1 + cot (2*x)/*|-12*x + -------- + 8*x *cot(2*x) - -------------------- + --------------------- + -------------------| - 2*x *|-log(cot(2*x)) + -----------------|  + 3*x*|-log(cot(2*x)) + -----------------|*|-log(cot(2*x)) - 4*x *\1 + cot (2*x)/ + --------------------- + -------------------||
                 |                  |        cot(2*x)                         cot(2*x)                  3                      2          |        \                      cot(2*x)    /        \                      cot(2*x)    / |                                                 2                    cot(2*x)     ||
                 \                  \                                                                cot (2*x)              cot (2*x)     /                                                                                         \                                              cot (2*x)                            //

$$4 \left(- 2 x^{3} \left(\frac{x \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot{\left(2 x \right)}} - \log{\left(\cot{\left(2 x \right)} \right)}\right)^{3} + 3 x \left(\frac{x \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot{\left(2 x \right)}} - \log{\left(\cot{\left(2 x \right)} \right)}\right) \left(\frac{2 x^{2} \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2}}{\cot^{2}{\left(2 x \right)}} - 4 x^{2} \left(\cot^{2}{\left(2 x \right)} + 1\right) + \frac{4 x \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot{\left(2 x \right)}} - \log{\left(\cot{\left(2 x \right)} \right)}\right) - \left(\cot^{2}{\left(2 x \right)} + 1\right) \left(\frac{4 x^{2} \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2}}{\cot^{3}{\left(2 x \right)}} - \frac{8 x^{2} \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot{\left(2 x \right)}} + 8 x^{2} \cot{\left(2 x \right)} + \frac{6 x \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\cot^{2}{\left(2 x \right)}} - 12 x + \frac{3}{\cot{\left(2 x \right)}}\right)\right) \cot^{x^{2}}{\left(2 x \right)}$$

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Gráfico

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Expresiones idénticas

Derivada de y=ctg(2x)^x^2

Gráfico:

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Solución