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 2*cos(3*x)
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Derivada de x^(7/6)
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Expresiones idénticas
- (asin(x))^sqrt(uno -x)
- ( ar coseno de eno de (x)) en el grado raíz cuadrada de (1 menos x)
- ( ar coseno de eno de (x)) en el grado raíz cuadrada de (uno menos x)
- (asin(x))^√(1-x)
- (asin(x))sqrt(1-x)
- asinxsqrt1-x
- asinx^sqrt1-x
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Expresiones semejantes
- (asin(x))^sqrt(1+x)
- (arcsin(x))^sqrt(1-x)
- (arcsinx)^sqrt(1-x)
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Expresiones con funciones
- Arcoseno arcsin
- asin(1/x)
- asin(e^(3*x))
- asin(log(x))
- asin(x)/((2*x))
- asin(x/sqrt(x^2+1))
- Raíz cuadrada sqrt
- sqrt(x)^3+1
- sqrt(x)*i^n*(sqrt(x)+sqrt(x+1))
- sqrt5x
- sqrt(x)-cos(x)+2
- sqrt(x)*asin(sqrt(x))+sqrt(1-x)
Derivada de (asin(x))^sqrt(1-x)
Solución
Ha introducido
[src]
_______
\/ 1 - x
(asin(x))
$$\operatorname{asin}^{\sqrt{1 - x}}{\left(x \right)}$$
asin(x)^(sqrt(1 - 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]
_______ / _______ \
\/ 1 - x | log(asin(x)) \/ 1 - x |
(asin(x)) *|- ------------ + -------------------|
| _______ ________ |
| 2*\/ 1 - x / 2 |
\ \/ 1 - x *asin(x)/
$$\left(\frac{\sqrt{1 - x}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{2 \sqrt{1 - x}}\right) \operatorname{asin}^{\sqrt{1 - x}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
|/ _______ \ |
|| log(asin(x)) 2*\/ 1 - x | |
||- ------------ + -------------------| |
|| _______ ________ | |
_______ || \/ 1 - x / 2 | _______ _______ |
\/ 1 - x |\ \/ 1 - x *asin(x)/ log(asin(x)) \/ 1 - x 1 x*\/ 1 - x |
(asin(x)) *|--------------------------------------- - ------------ + ------------------ - ----------------------------- + -------------------|
| 4 3/2 / 2\ 2 ________ 3/2 |
| 4*(1 - x) \-1 + x /*asin (x) _______ / 2 / 2\ |
\ \/ 1 - x *\/ 1 - x *asin(x) \1 - x / *asin(x)/
$$\left(\frac{x \sqrt{1 - x}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{\sqrt{1 - x}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{\left(\frac{2 \sqrt{1 - x}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x}}\right)^{2}}{4} - \frac{1}{\sqrt{1 - x} \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{4 \left(1 - x\right)^{\frac{3}{2}}}\right) \operatorname{asin}^{\sqrt{1 - x}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 \
|/ _______ \ / _______ \ / _______ _______ \ |
|| log(asin(x)) 2*\/ 1 - x | | log(asin(x)) 2*\/ 1 - x | | log(asin(x)) 4 4*\/ 1 - x 4*x*\/ 1 - x | |
||- ------------ + -------------------| 3*|- ------------ + -------------------|*|- ------------ - ----------------------------- + ------------------ + -------------------| |
|| _______ ________ | | _______ ________ | | 3/2 ________ / 2\ 2 3/2 | |
_______ || \/ 1 - x / 2 | | \/ 1 - x / 2 | | (1 - x) _______ / 2 \-1 + x /*asin (x) / 2\ | _______ _______ _______ 2 _______ |
\/ 1 - x |\ \/ 1 - x *asin(x)/ 3*log(asin(x)) \ \/ 1 - x *asin(x)/ \ \/ 1 - x *\/ 1 - x *asin(x) \1 - x / *asin(x)/ \/ 1 - x 2*\/ 1 - x 3 3 3*x*\/ 1 - x 3*x *\/ 1 - x 3*x |
(asin(x)) *|--------------------------------------- - -------------- + ------------------------------------------------------------------------------------------------------------------------------------ + ------------------- + -------------------- - ------------------------------ - -------------------------------- - ------------------- + ------------------- - -------------------------------|
| 8 5/2 8 3/2 3/2 _______ / 2\ 2 ________ 2 5/2 3/2 |
| 8*(1 - x) / 2\ / 2\ 3 2*\/ 1 - x *\-1 + x /*asin (x) 3/2 / 2 / 2\ 2 / 2\ _______ / 2\ |
\ \1 - x / *asin(x) \1 - x / *asin (x) 4*(1 - x) *\/ 1 - x *asin(x) \-1 + x / *asin (x) \1 - x / *asin(x) 2*\/ 1 - x *\1 - x / *asin(x)/
$$\left(\frac{3 x^{2} \sqrt{1 - x}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(x \right)}} - \frac{3 x \sqrt{1 - x}}{\left(x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(x \right)}} - \frac{3 x}{2 \sqrt{1 - x} \left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{\sqrt{1 - x}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{2 \sqrt{1 - x}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(x \right)}} + \frac{\left(\frac{2 \sqrt{1 - x}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x}}\right)^{3}}{8} + \frac{3 \left(\frac{2 \sqrt{1 - x}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x}}\right) \left(\frac{4 x \sqrt{1 - x}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{4 \sqrt{1 - x}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} - \frac{4}{\sqrt{1 - x} \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{\left(1 - x\right)^{\frac{3}{2}}}\right)}{8} - \frac{3}{2 \sqrt{1 - x} \left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} - \frac{3}{4 \left(1 - x\right)^{\frac{3}{2}} \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{3 \log{\left(\operatorname{asin}{\left(x \right)} \right)}}{8 \left(1 - x\right)^{\frac{5}{2}}}\right) \operatorname{asin}^{\sqrt{1 - x}}{\left(x \right)}$$
Gráfico