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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- y=asin^ cuatro (x* cinco ^cosx)-lnx
- y es igual a ar coseno de eno de en el grado 4(x multiplicar por 5 en el grado coseno de x) menos lnx
- y es igual a ar coseno de eno de en el grado cuatro (x multiplicar por cinco en el grado coseno de x) menos lnx
- y=asin4(x*5cosx)-lnx
- y=asin4x*5cosx-lnx
- y=asin⁴(x*5^cosx)-lnx
- y=asin^4(x5^cosx)-lnx
- y=asin4(x5cosx)-lnx
- y=asin4x5cosx-lnx
- y=asin^4x5^cosx-lnx
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Expresiones semejantes
- y=asin^4(x*5^cosx)+lnx
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Expresiones con funciones
- Arcoseno arcsin
- asin(2*y)
Derivada de y=asin^4(x*5^cosx)-lnx
Solución
Ha introducido
[src]
4/ cos(x)\ asin \x*5 / - log(x)
$$- \log{\left(x \right)} + \operatorname{asin}^{4}{\left(5^{\cos{\left(x \right)}} x \right)}$$
asin(x*5^cos(x))^4 - log(x)
Primera derivada
[src]
3/ cos(x)\ / cos(x) cos(x) \
1 4*asin \x*5 /*\5 - x*5 *log(5)*sin(x)/
- - + ------------------------------------------------------
x __________________
/ 2*cos(x) 2
\/ 1 - 5 *x
$$\frac{4 \left(- 5^{\cos{\left(x \right)}} x \log{\left(5 \right)} \sin{\left(x \right)} + 5^{\cos{\left(x \right)}}\right) \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\sqrt{- 5^{2 \cos{\left(x \right)}} x^{2} + 1}} - \frac{1}{x}$$
Segunda derivada
[src]
2*cos(x) 2 2/ cos(x)\ cos(x) 3/ cos(x)\ / 2 \ 3*cos(x) 2 3/ cos(x)\
1 12*5 *(-1 + x*log(5)*sin(x)) *asin \x*5 / 4*5 *asin \x*5 /*\2*sin(x) + x*cos(x) - x*sin (x)*log(5)/*log(5) 4*x*5 *(-1 + x*log(5)*sin(x)) *asin \x*5 /
-- - ----------------------------------------------------- - -------------------------------------------------------------------------- + ------------------------------------------------------
2 2*cos(x) 2 __________________ 3/2
x -1 + 5 *x / 2*cos(x) 2 / 2*cos(x) 2\
\/ 1 - 5 *x \1 - 5 *x /
$$\frac{4 \cdot 5^{3 \cos{\left(x \right)}} x \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right)^{2} \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\left(- 5^{2 \cos{\left(x \right)}} x^{2} + 1\right)^{\frac{3}{2}}} - \frac{12 \cdot 5^{2 \cos{\left(x \right)}} \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right)^{2} \operatorname{asin}^{2}{\left(5^{\cos{\left(x \right)}} x \right)}}{5^{2 \cos{\left(x \right)}} x^{2} - 1} - \frac{4 \cdot 5^{\cos{\left(x \right)}} \left(- x \log{\left(5 \right)} \sin^{2}{\left(x \right)} + x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \log{\left(5 \right)} \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\sqrt{- 5^{2 \cos{\left(x \right)}} x^{2} + 1}} + \frac{1}{x^{2}}$$
Tercera derivada
[src]
/ 3*cos(x) 3 / cos(x)\ 4*cos(x) 3 2/ cos(x)\ 5*cos(x) 2 3 3/ cos(x)\ 3*cos(x) 3/ cos(x)\ / 2 2 2 2 \ cos(x) 3/ cos(x)\ / 2 2 3 \ 2*cos(x) 2/ cos(x)\ / 2 \ 3*cos(x) 3/ cos(x)\ / 2 \ \ | 1 12*5 *(-1 + x*log(5)*sin(x)) *asin\x*5 / 18*x*5 *(-1 + x*log(5)*sin(x)) *asin \x*5 / 6*5 *x *(-1 + x*log(5)*sin(x)) *asin \x*5 / 2*5 *asin \x*5 /*(-1 + x*log(5)*sin(x))*\1 - x *cos(x)*log(5) - 4*x*log(5)*sin(x) + 2*x *log (5)*sin (x)/ 2*5 *asin \x*5 /*\-3*cos(x) + x*sin(x) + 3*sin (x)*log(5) - x*log (5)*sin (x) + 3*x*cos(x)*log(5)*sin(x)/*log(5) 18*5 *asin \x*5 /*(-1 + x*log(5)*sin(x))*\2*sin(x) + x*cos(x) - x*sin (x)*log(5)/*log(5) 4*x*5 *asin \x*5 /*(-1 + x*log(5)*sin(x))*\2*sin(x) + x*cos(x) - x*sin (x)*log(5)/*log(5)| 2*|- -- - ---------------------------------------------------- - ------------------------------------------------------- - ------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------| | 3 3/2 2 5/2 3/2 __________________ 2*cos(x) 2 3/2 | | x / 2*cos(x) 2\ / 2*cos(x) 2\ / 2*cos(x) 2\ / 2*cos(x) 2\ / 2*cos(x) 2 -1 + 5 *x / 2*cos(x) 2\ | \ \1 - 5 *x / \-1 + 5 *x / \1 - 5 *x / \1 - 5 *x / \/ 1 - 5 *x \1 - 5 *x / /
$$2 \left(- \frac{6 \cdot 5^{5 \cos{\left(x \right)}} x^{2} \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right)^{3} \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\left(- 5^{2 \cos{\left(x \right)}} x^{2} + 1\right)^{\frac{5}{2}}} - \frac{18 \cdot 5^{4 \cos{\left(x \right)}} x \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right)^{3} \operatorname{asin}^{2}{\left(5^{\cos{\left(x \right)}} x \right)}}{\left(5^{2 \cos{\left(x \right)}} x^{2} - 1\right)^{2}} + \frac{4 \cdot 5^{3 \cos{\left(x \right)}} x \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right) \left(- x \log{\left(5 \right)} \sin^{2}{\left(x \right)} + x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \log{\left(5 \right)} \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\left(- 5^{2 \cos{\left(x \right)}} x^{2} + 1\right)^{\frac{3}{2}}} - \frac{12 \cdot 5^{3 \cos{\left(x \right)}} \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right)^{3} \operatorname{asin}{\left(5^{\cos{\left(x \right)}} x \right)}}{\left(- 5^{2 \cos{\left(x \right)}} x^{2} + 1\right)^{\frac{3}{2}}} - \frac{2 \cdot 5^{3 \cos{\left(x \right)}} \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right) \left(2 x^{2} \log{\left(5 \right)}^{2} \sin^{2}{\left(x \right)} - x^{2} \log{\left(5 \right)} \cos{\left(x \right)} - 4 x \log{\left(5 \right)} \sin{\left(x \right)} + 1\right) \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\left(- 5^{2 \cos{\left(x \right)}} x^{2} + 1\right)^{\frac{3}{2}}} - \frac{18 \cdot 5^{2 \cos{\left(x \right)}} \left(x \log{\left(5 \right)} \sin{\left(x \right)} - 1\right) \left(- x \log{\left(5 \right)} \sin^{2}{\left(x \right)} + x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \log{\left(5 \right)} \operatorname{asin}^{2}{\left(5^{\cos{\left(x \right)}} x \right)}}{5^{2 \cos{\left(x \right)}} x^{2} - 1} + \frac{2 \cdot 5^{\cos{\left(x \right)}} \left(- x \log{\left(5 \right)}^{2} \sin^{3}{\left(x \right)} + 3 x \log{\left(5 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + x \sin{\left(x \right)} + 3 \log{\left(5 \right)} \sin^{2}{\left(x \right)} - 3 \cos{\left(x \right)}\right) \log{\left(5 \right)} \operatorname{asin}^{3}{\left(5^{\cos{\left(x \right)}} x \right)}}{\sqrt{- 5^{2 \cos{\left(x \right)}} x^{2} + 1}} - \frac{1}{x^{3}}\right)$$
Gráfico