Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Derivada de (t^(2)+1)÷(t^(1÷2)-1)
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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
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Expresiones semejantes
- x^(ln*arcsinx)
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Expresiones con funciones
- ln
- ln(x/5)
- ln(×)
- ln(1+x²)
- ln(x+10)^10
- ln(x+1/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
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
log(x)*asin(x) //asin(x) log(x) \ asin(x)*log(x)\
x *||------- + -----------|*log(x) + --------------|
|| x ________| x |
|| / 2 | |
\\ \/ 1 - x / /
$$x^{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}} \left(\left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x}\right) \log{\left(x \right)} + \frac{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}}{x}\right)$$
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 /
$$x^{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}} \left(\left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x}\right)^{2} \log{\left(x \right)}^{2} + \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x}}{x} + \frac{\log{\left(x \right)}}{x \sqrt{1 - x^{2}}} - \frac{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}}{x^{2}} + \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right)$$
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 / /
$$x^{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}} \left(\left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x}\right)^{3} \log{\left(x \right)}^{3} + 3 \left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x}\right) \left(\left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x}}{x} + \frac{\log{\left(x \right)}}{x \sqrt{1 - x^{2}}} - \frac{\log{\left(x \right)} \operatorname{asin}{\left(x \right)}}{x^{2}} + \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \left(\frac{3 x^{2} \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x^{3}}\right) \log{\left(x \right)} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right)}{x} - \frac{\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x}}{x^{2}} - \frac{2 \log{\left(x \right)}}{x^{2} \sqrt{1 - x^{2}}} + \frac{2}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \log{\left(x \right)} \operatorname{asin}{\left(x \right)}}{x^{3}} - \frac{3 \operatorname{asin}{\left(x \right)}}{x^{3}}\right)$$
Gráfico