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 1/x^5
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Derivada de x*e^(-x^2)
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Derivada de 1/(x+1)^2
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Derivada de x^(4/5)
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Expresiones idénticas
- y=(arcsin√x)^tgx^ dos
- y es igual a (arc seno de √x) en el grado tgx al cuadrado
- y es igual a (arc seno de √x) en el grado tgx en el grado dos
- y=(arcsin√x)tgx2
- y=arcsin√xtgx2
- y=(arcsin√x)^tgx²
- y=(arcsin√x) en el grado tgx en el grado 2
- y=arcsin√x^tgx^2
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Expresiones con funciones
- arcsin
- arcsin(2*x)
- arcsin^26x
- arcsin((sinx)/(1+sin^2x))
- arcsinx^3
- arcsin(x)^sqrt(1-x^2)
Derivada de y=(arcsin√x)^tgx^2
Solución
Ha introducido
[src]
2
tan (x)
/ / ___\\
\asin\\/ x //
$$\operatorname{asin}^{\tan^{2}{\left(x \right)}}{\left(\sqrt{x} \right)}$$
asin(sqrt(x))^(tan(x)^2)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
2
tan (x) / 2 \
/ / ___\\ |/ 2 \ / / ___\\ tan (x) |
\asin\\/ x // *|\2 + 2*tan (x)/*log\asin\\/ x //*tan(x) + -----------------------------|
| ___ _______ / ___\|
\ 2*\/ x *\/ 1 - x *asin\\/ x //
$$\left(\left(2 \tan^{2}{\left(x \right)} + 2\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} \tan{\left(x \right)} + \frac{\tan^{2}{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right) \operatorname{asin}^{\tan^{2}{\left(x \right)}}{\left(\sqrt{x} \right)}$$
Segunda derivada
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/ 2 \
| / / 2 \ / / ___\\ tan(x) \ 2 |
2 | |4*\1 + tan (x)/*log\asin\\/ x // + ---------------------------| *tan (x) |
tan (x) | 2 | ___ _______ / ___\| 2 2 2 / 2 \ |
/ / ___\\ | / 2 \ / / ___\\ \ \/ x *\/ 1 - x *asin\\/ x // 2 / 2 \ / / ___\\ tan (x) tan (x) tan (x) 2*\1 + tan (x)/*tan(x) |
\asin\\/ x // *|2*\1 + tan (x)/ *log\asin\\/ x // + ------------------------------------------------------------------------- + 4*tan (x)*\1 + tan (x)/*log\asin\\/ x // - ---------------------------- + ------------------------- + ------------------------------ + ---------------------------|
| 4 3/2 _______ / ___\ 2/ ___\ ___ 3/2 / ___\ ___ _______ / ___\|
\ 4*x *\/ 1 - x *asin\\/ x / 4*x*(-1 + x)*asin \\/ x / 4*\/ x *(1 - x) *asin\\/ x / \/ x *\/ 1 - x *asin\\/ x //
$$\left(\frac{\left(4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} + \frac{\tan{\left(x \right)}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right)^{2} \tan^{2}{\left(x \right)}}{4} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} \tan^{2}{\left(x \right)} + \frac{\tan^{2}{\left(x \right)}}{4 x \left(x - 1\right) \operatorname{asin}^{2}{\left(\sqrt{x} \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}} + \frac{\tan^{2}{\left(x \right)}}{4 \sqrt{x} \left(1 - x\right)^{\frac{3}{2}} \operatorname{asin}{\left(\sqrt{x} \right)}} - \frac{\tan^{2}{\left(x \right)}}{4 x^{\frac{3}{2}} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right) \operatorname{asin}^{\tan^{2}{\left(x \right)}}{\left(\sqrt{x} \right)}$$
Tercera derivada
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/ 3 / 2 2 2 2 / 2 \ \ \
|/ / 2 \ / / ___\\ tan(x) \ 3 / / 2 \ / / ___\\ tan(x) \ | / 2 \ / / ___\\ 2 / 2 \ / / ___\\ tan (x) tan (x) tan (x) 8*\1 + tan (x)/*tan(x) | |
2 ||4*\1 + tan (x)/*log\asin\\/ x // + ---------------------------| *tan (x) 3*|4*\1 + tan (x)/*log\asin\\/ x // + ---------------------------|*|8*\1 + tan (x)/ *log\asin\\/ x // + 16*tan (x)*\1 + tan (x)/*log\asin\\/ x // + ----------------------- + ---------------------------- - -------------------------- + ---------------------------|*tan(x) 2 |
tan (x) || ___ _______ / ___\| 2 | ___ _______ / ___\| | 2/ ___\ ___ 3/2 / ___\ 3/2 _______ / ___\ ___ _______ / ___\| / 2 \ 2 2 2 2 2 2 2 / 2 \ / 2 \ / 2 \ / 2 \ |
/ / ___\\ |\ \/ x *\/ 1 - x *asin\\/ x // 3 / 2 \ / / ___\\ / 2 \ / / ___\\ \ \/ x *\/ 1 - x *asin\\/ x // \ x*(-1 + x)*asin \\/ x / \/ x *(1 - x) *asin\\/ x / x *\/ 1 - x *asin\\/ x / \/ x *\/ 1 - x *asin\\/ x // 3*\1 + tan (x)/ 3*tan (x) 3*tan (x) tan (x) tan (x) 3*tan (x) 3*tan (x) 6*tan (x)*\1 + tan (x)/ 3*\1 + tan (x)/*tan(x) 3*\1 + tan (x)/*tan(x) 3*\1 + tan (x)/*tan(x) |
\asin\\/ x // *|------------------------------------------------------------------------- + 8*tan (x)*\1 + tan (x)/*log\asin\\/ x // + 16*\1 + tan (x)/ *log\asin\\/ x //*tan(x) + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------- - -------------------------- - -------------------------- - ----------------------------- + ------------------------------ + ---------------------------- + ------------------------------ + --------------------------- - ---------------------------- + ------------------------- + ------------------------------|
| 8 8 ___ _______ / ___\ 2 2/ ___\ 2 2/ ___\ 3/2 3/2 / ___\ 3/2 3/2 3/ ___\ 5/2 _______ / ___\ ___ 5/2 / ___\ ___ _______ / ___\ 3/2 _______ / ___\ 2/ ___\ ___ 3/2 / ___\|
\ \/ x *\/ 1 - x *asin\\/ x / 8*x*(-1 + x) *asin \\/ x / 8*x *(-1 + x)*asin \\/ x / 4*x *(1 - x) *asin\\/ x / 4*x *(1 - x) *asin \\/ x / 8*x *\/ 1 - x *asin\\/ x / 8*\/ x *(1 - x) *asin\\/ x / \/ x *\/ 1 - x *asin\\/ x / 2*x *\/ 1 - x *asin\\/ x / 2*x*(-1 + x)*asin \\/ x / 2*\/ x *(1 - x) *asin\\/ x //
$$\left(\frac{\left(4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} + \frac{\tan{\left(x \right)}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right)^{3} \tan^{3}{\left(x \right)}}{8} + \frac{3 \left(4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} + \frac{\tan{\left(x \right)}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right) \left(8 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} + 16 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} \tan^{2}{\left(x \right)} + \frac{\tan^{2}{\left(x \right)}}{x \left(x - 1\right) \operatorname{asin}^{2}{\left(\sqrt{x} \right)}} + \frac{8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}} + \frac{\tan^{2}{\left(x \right)}}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}} \operatorname{asin}{\left(\sqrt{x} \right)}} - \frac{\tan^{2}{\left(x \right)}}{x^{\frac{3}{2}} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right) \tan{\left(x \right)}}{8} + 16 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} \tan{\left(x \right)} + 8 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\operatorname{asin}{\left(\sqrt{x} \right)} \right)} \tan^{3}{\left(x \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{2 x \left(x - 1\right) \operatorname{asin}^{2}{\left(\sqrt{x} \right)}} - \frac{3 \tan^{2}{\left(x \right)}}{8 x \left(x - 1\right)^{2} \operatorname{asin}^{2}{\left(\sqrt{x} \right)}} - \frac{3 \tan^{2}{\left(x \right)}}{8 x^{2} \left(x - 1\right) \operatorname{asin}^{2}{\left(\sqrt{x} \right)}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{2 \sqrt{x} \left(1 - x\right)^{\frac{3}{2}} \operatorname{asin}{\left(\sqrt{x} \right)}} + \frac{3 \tan^{2}{\left(x \right)}}{8 \sqrt{x} \left(1 - x\right)^{\frac{5}{2}} \operatorname{asin}{\left(\sqrt{x} \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{2 x^{\frac{3}{2}} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}} - \frac{\tan^{2}{\left(x \right)}}{4 x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}} \operatorname{asin}{\left(\sqrt{x} \right)}} + \frac{\tan^{2}{\left(x \right)}}{4 x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(\sqrt{x} \right)}} + \frac{3 \tan^{2}{\left(x \right)}}{8 x^{\frac{5}{2}} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)}}\right) \operatorname{asin}^{\tan^{2}{\left(x \right)}}{\left(\sqrt{x} \right)}$$
Gráfico