Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
Derivada de:
Derivada de 5^10
Derivada de i*n*sin(x)
Derivada de 3^-x
Derivada de y=6x
Expresiones idénticas
x^(ln*arcsin(x))
x en el grado (ln multiplicar por arc seno de (x))
x(ln*arcsin(x))
xln*arcsinx
x^(lnarcsin(x))
x(lnarcsin(x))
xlnarcsinx
x^lnarcsinx
Expresiones semejantes
x^(ln*arcsinx)
Expresiones con funciones
ln
ln(x+sqrt(a^2+x^2))
ln(x+1)-x
ln√(x-1)
ln(lg(1-3x))
ln(x+6)^3-3x
arcsin
arcsin(lnx)
arcsin1/x

Derivada de la función/ sin(x)/ arcsin/ x^(ln*arcsin(x))

Derivada de x^(ln*arcsin(x))

Solución

Ha introducido [src]

 log(x)*asin(x)
x

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

x^(log(x)*asin(x))

Solución detallada

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

Perola derivada

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

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

Respuesta:

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

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

 log(x)*asin(x) //asin(x)      log(x)  \          asin(x)*log(x)\
x              *||------- + -----------|*log(x) + --------------|
                ||   x         ________|                x       |
                ||            /      2 |                        |
                \\          \/  1 - x  /                        /

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

Simplificar

Segunda derivada [src]

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

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

Simplificar

Tercera derivada [src]

                /                                                                                                                                   asin(x)      log(x)                   /  asin(x)         2           x*log(x) \                                                                                    /asin(x)      log(x)                                                                                                \       \
                |                                                                                                                                   ------- + -----------               2*|- ------- + ------------- + -----------|                                                                                    |------- + -----------                                                                                              |       |
                |                                                                                                                                      x         ________                 |      2          ________           3/2|                                                                                    |   x         ________                                                                                              |       |
                |                                       3           /                                                            2       \                      /      2                  |     x          /      2    /     2\   |                                                                                    |            /      2                                                                                               |       |
 asin(x)*log(x) |   log(x)     /   log(x)     2*asin(x)\     3      |     3           log(x)           3          2*asin(x)   3*x *log(x)|                    \/  1 - x     3*asin(x)     \            x*\/  1 - x     \1 - x /   /         2             2*log(x)      2*asin(x)*log(x)     /   log(x)     2*asin(x)\ |          \/  1 - x     asin(x)   /  asin(x)         2           x*log(x) \              log(x)      asin(x)*log(x)|       |
x              *|----------- + |----------- + ---------| *log (x) + |----------- + ----------- - -------------- + --------- + -----------|*log(x) - --------------------- - --------- + ------------------------------------------- + -------------- - -------------- + ---------------- + 3*|----------- + ---------|*|--------------------- + ------- + |- ------- + ------------- + -----------|*log(x) + ------------- - --------------|*log(x)|
                |        3/2   |   ________       x    |            |        3/2           3/2         ________        3              5/2|                     2                 3                           x                              ________         ________           3            |   ________       x    | |          x                 2     |      2          ________           3/2|               ________          2      |       |
                |/     2\      |  /      2             |            |/     2\      /     2\       2   /      2        x       /     2\   |                    x                 x                                                      2   /      2     2   /      2           x             |  /      2             | |                           x      |     x          /      2    /     2\   |              /      2          x       |       |
                \\1 - x /      \\/  1 - x              /            \\1 - x /      \1 - x /      x *\/  1 - x                 \1 - x /   /                                                                                            x *\/  1 - x     x *\/  1 - x                          \\/  1 - x              / \                                  \            x*\/  1 - x     \1 - x /   /          x*\/  1 - x                   /       /

x^{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}} \left(\left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x}\right)^{3} \log{\left(x \right)}^{3} + 3 \left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x}\right) \left(\left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x}}{x} + \frac{\log{\left(x \right)}}{x \sqrt{1 - x^{2}}} - \frac{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}}{x^{2}} + \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \left(\frac{3 x^{2} \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x^{3}}\right) \log{\left(x \right)} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right)}{x} - \frac{\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x}}{x^{2}} - \frac{2 \log{\left(x \right)}}{x^{2} \sqrt{1 - x^{2}}} + \frac{2}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \log{\left(x \right)} \operatorname{asin}{\left(x \right)}}{x^{3}} - \frac{3 \operatorname{asin}{\left(x \right)}}{x^{3}}\right)

Simplificar

Gráfico

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

Derivada de x^(ln*arcsin(x))

Gráfico:

Definida a trozos:

Solución