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
- y=asin(sqrt5x*tg^2x)
- y es igual a ar coseno de eno de ( raíz cuadrada de 5x multiplicar por tg al cuadrado x)
- y=asin(√5x*tg^2x)
- y=asin(sqrt5x*tg2x)
- y=asinsqrt5x*tg2x
- y=asin(sqrt5x*tg²x)
- y=asin(sqrt5x*tg en el grado 2x)
- y=asin(sqrt5xtg^2x)
- y=asin(sqrt5xtg2x)
- y=asinsqrt5xtg2x
- y=asinsqrt5xtg^2x
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Expresiones semejantes
- y=arcsin(sqrt5x*tg^2x)
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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))
- tg
- tg^2(3x)
- tg(cosx)
Derivada de y=asin(sqrt5x*tg^2x)
Solución
Ha introducido
[src]
/ _____ 2 \ asin\\/ 5*x *tan (x)/
$$\operatorname{asin}{\left(\sqrt{5 x} \tan^{2}{\left(x \right)} \right)}$$
asin(sqrt(5*x)*tan(x)^2)
Primera derivada
[src]
___ 2
___ ___ / 2 \ \/ 5 *tan (x)
\/ 5 *\/ x *\2 + 2*tan (x)/*tan(x) + -------------
___
2*\/ x
--------------------------------------------------
_________________
/ 4
\/ 1 - 5*x*tan (x)
$$\frac{\sqrt{5} \sqrt{x} \left(2 \tan^{2}{\left(x \right)} + 2\right) \tan{\left(x \right)} + \frac{\sqrt{5} \tan^{2}{\left(x \right)}}{2 \sqrt{x}}}{\sqrt{- 5 x \tan^{4}{\left(x \right)} + 1}}$$
Segunda derivada
[src]
/ 4 /tan(x) ___ / 2 \\ / / 2 \ \\
| 5*tan (x)*|------ + 4*\/ x *\1 + tan (x)/|*\4*x*\1 + tan (x)/ + tan(x)/|
| 2 2 / 2 \ | ___ | |
___ | ___ / 2 \ tan (x) 2*\1 + tan (x)/*tan(x) ___ 2 / 2 \ \\/ x / |
\/ 5 *|2*\/ x *\1 + tan (x)/ - ------- + ---------------------- + 4*\/ x *tan (x)*\1 + tan (x)/ + -----------------------------------------------------------------------|
| 3/2 ___ / 4 \ |
\ 4*x \/ x 4*\1 - 5*x*tan (x)/ /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________
/ 4
\/ 1 - 5*x*tan (x)
$$\frac{\sqrt{5} \left(2 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \frac{5 \left(4 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{\tan{\left(x \right)}}{\sqrt{x}}\right) \left(4 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \tan^{4}{\left(x \right)}}{4 \left(- 5 x \tan^{4}{\left(x \right)} + 1\right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{x}} - \frac{\tan^{2}{\left(x \right)}}{4 x^{\frac{3}{2}}}\right)}{\sqrt{- 5 x \tan^{4}{\left(x \right)} + 1}}$$
Tercera derivada
[src]
/ / 2 2 / 2 \ \ 2 \
| 3 / / 2 \ \ | tan (x) ___ / 2 \ 8*\1 + tan (x)/*tan(x) ___ 2 / 2 \| / / 2 \ \ 7 /tan(x) ___ / 2 \\ 3 / 2 \ /tan(x) ___ / 2 \\ / 2 / 2 \\|
| 2 5*tan (x)*\4*x*\1 + tan (x)/ + tan(x)/*|- ------- + 8*\/ x *\1 + tan (x)/ + ---------------------- + 16*\/ x *tan (x)*\1 + tan (x)/| 75*\4*x*\1 + tan (x)/ + tan(x)/ *tan (x)*|------ + 4*\/ x *\1 + tan (x)/| 5*tan (x)*\1 + tan (x)/*|------ + 4*\/ x *\1 + tan (x)/|*\2*tan(x) + 2*x*tan (x) + 3*x*\1 + tan (x)//|
| / 2 \ 2 2 / 2 \ 2 / 2 \ | 3/2 ___ | | ___ | | ___ | |
___ |3*\1 + tan (x)/ 3*tan (x) 6*tan (x)*\1 + tan (x)/ ___ 3 / 2 \ ___ / 2 \ 3*\1 + tan (x)/*tan(x) \ x \/ x / \\/ x / \\/ x / |
\/ 5 *|---------------- + --------- + ----------------------- + 8*\/ x *tan (x)*\1 + tan (x)/ + 16*\/ x *\1 + tan (x)/ *tan(x) - ---------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------|
| ___ 5/2 ___ 3/2 / 4 \ 2 4 |
| \/ x 8*x \/ x 2*x 4*\1 - 5*x*tan (x)/ / 4 \ 1 - 5*x*tan (x) |
\ 8*\1 - 5*x*tan (x)/ /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________
/ 4
\/ 1 - 5*x*tan (x)
$$\frac{\sqrt{5} \left(16 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)} + 8 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{3}{\left(x \right)} + \frac{75 \left(4 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{\tan{\left(x \right)}}{\sqrt{x}}\right) \left(4 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)^{2} \tan^{7}{\left(x \right)}}{8 \left(- 5 x \tan^{4}{\left(x \right)} + 1\right)^{2}} + \frac{5 \left(4 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{\tan{\left(x \right)}}{\sqrt{x}}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 2 \tan{\left(x \right)}\right) \tan^{3}{\left(x \right)}}{- 5 x \tan^{4}{\left(x \right)} + 1} + \frac{5 \left(4 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(8 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 16 \sqrt{x} \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \frac{8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{x}} - \frac{\tan^{2}{\left(x \right)}}{x^{\frac{3}{2}}}\right) \tan^{3}{\left(x \right)}}{4 \left(- 5 x \tan^{4}{\left(x \right)} + 1\right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\sqrt{x}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\sqrt{x}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{2 x^{\frac{3}{2}}} + \frac{3 \tan^{2}{\left(x \right)}}{8 x^{\frac{5}{2}}}\right)}{\sqrt{- 5 x \tan^{4}{\left(x \right)} + 1}}$$