Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
Derivada de:
Derivada de (x^5+1)
Derivada de 8
Derivada de 7
Derivada de e^(2-x)
Expresiones idénticas
y=arcsin2x^ln(x+ tres)
y es igual a arc seno de 2x en el grado ln(x más 3)
y es igual a arc seno de 2x en el grado ln(x más tres)
y=arcsin2xln(x+3)
y=arcsin2xlnx+3
y=arcsin2x^lnx+3
Expresiones semejantes
y=arcsin2x^ln(x-3)
Expresiones con funciones
ln
ln(x+4)^11
ln(1-x^3)
ln(secx+tanx)
ln3x^4
ln(x+√(x^2+a^2))

Derivada de la función/ sin2x/ arcsin/ (x+3)/ y=arcsin2x^ln(x+3)

Derivada de y=arcsin2x^ln(x+3)

Solución

Ha introducido [src]

    log(x + 3)     
asin          (2*x)

\operatorname{asin}^{\log{\left(x + 3 \right)}}{\left(2 x \right)}

asin(2*x)^log(x + 3)

Solución detallada

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

Perola derivada

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

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

Respuesta:

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

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

    log(x + 3)      /log(asin(2*x))         2*log(x + 3)     \
asin          (2*x)*|-------------- + -----------------------|
                    |    x + 3           __________          |
                    |                   /        2           |
                    \                 \/  1 - 4*x  *asin(2*x)/

\left(\frac{\log{\left(\operatorname{asin}{\left(2 x \right)} \right)}}{x + 3} + \frac{2 \log{\left(x + 3 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \operatorname{asin}^{\log{\left(x + 3 \right)}}{\left(2 x \right)}

Simplificar

Segunda derivada [src]

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

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

Simplificar

Tercera derivada [src]

                    /                                          3                                                                                                                                                                                                                                                                                                                                                                          2              \
    log(3 + x)      |/log(asin(2*x))         2*log(3 + x)     \    2*log(asin(2*x))     /log(asin(2*x))         2*log(3 + x)     \ /  log(asin(2*x))                  4                       4*log(3 + x)             8*x*log(3 + x)    \                  6                         8*log(3 + x)                      12                      16*log(3 + x)             48*x*log(3 + x)                     24*x                    96*x *log(3 + x)   |
asin          (2*x)*||-------------- + -----------------------|  + ---------------- + 3*|-------------- + -----------------------|*|- -------------- + ------------------------------- + ---------------------- + -----------------------| - -------------------------------- + ----------------------- + ------------------------------ + ------------------------ - ----------------------- + ------------------------------- + -----------------------|
                    ||    3 + x           __________          |               3         |    3 + x           __________          | |            2         __________                     /        2\     2                  3/2          |      __________                                3/2             /        2\             2                  3/2                         2                        3/2                               5/2          |
                    ||                   /        2           |        (3 + x)          |                   /        2           | |     (3 + x)         /        2                      \-1 + 4*x /*asin (2*x)   /       2\             |     /        2         2             /       2\                \-1 + 4*x /*(3 + x)*asin (2*x)   /       2\        3        /        2\      2        /       2\                        /       2\             |
                    \\                 \/  1 - 4*x  *asin(2*x)/                         \                 \/  1 - 4*x  *asin(2*x)/ \                   \/  1 - 4*x  *(3 + x)*asin(2*x)                            \1 - 4*x /   *asin(2*x)/   \/  1 - 4*x  *(3 + x) *asin(2*x)   \1 - 4*x /   *asin(2*x)                                    \1 - 4*x /   *asin (2*x)   \-1 + 4*x / *asin (2*x)   \1 - 4*x /   *(3 + x)*asin(2*x)   \1 - 4*x /   *asin(2*x)/

\left(\frac{96 x^{2} \log{\left(x + 3 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(2 x \right)}} - \frac{48 x \log{\left(x + 3 \right)}}{\left(4 x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(2 x \right)}} + \frac{24 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \left(x + 3\right) \operatorname{asin}{\left(2 x \right)}} + \left(\frac{\log{\left(\operatorname{asin}{\left(2 x \right)} \right)}}{x + 3} + \frac{2 \log{\left(x + 3 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right)^{3} + 3 \left(\frac{\log{\left(\operatorname{asin}{\left(2 x \right)} \right)}}{x + 3} + \frac{2 \log{\left(x + 3 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \left(\frac{8 x \log{\left(x + 3 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \frac{4 \log{\left(x + 3 \right)}}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(2 x \right)} \right)}}{\left(x + 3\right)^{2}} + \frac{4}{\sqrt{1 - 4 x^{2}} \left(x + 3\right) \operatorname{asin}{\left(2 x \right)}}\right) + \frac{12}{\left(x + 3\right) \left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} + \frac{2 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)}}{\left(x + 3\right)^{3}} - \frac{6}{\sqrt{1 - 4 x^{2}} \left(x + 3\right)^{2} \operatorname{asin}{\left(2 x \right)}} + \frac{8 \log{\left(x + 3 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \frac{16 \log{\left(x + 3 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(2 x \right)}}\right) \operatorname{asin}^{\log{\left(x + 3 \right)}}{\left(2 x \right)}

Simplificar

Gráfico

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

Derivada de y=arcsin2x^ln(x+3)

Gráfico:

Definida a trozos:

Solución