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
-
¿Cómo usar?
- Derivada de:
-
Derivada de 1/x^5
-
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(tg(dos)^(cos(lnx)))
- y es igual a arc seno de (tg(2) en el grado ( coseno de (lnx)))
- y es igual a arc seno de (tg(dos) en el grado ( coseno de (lnx)))
- y=arcsin(tg(2)(cos(lnx)))
- y=arcsintg2coslnx
- y=arcsintg2^coslnx
-
Expresiones con funciones
- arcsin
- arcsin(lnx)
- arcsinx/2
- arcsin^2(x)
- arcsin(2*x)
- arcsin((x-1)/x)
- tg
- tgx-ctgx
- tg^3(2x)
- tg5x^1/5
- tg^2(3x)
- tg(cosx)
- Coseno cos
- cosx/lnx
- cos(3/x)
- cos*(x^2)
- coshx
- cos(x)^(42)
- lnx
- lnx/ln4
- lnx+x^2+1(1/2)/2x
- lnx(sinx+1)
Derivada de y=arcsin(tg(2)^(cos(lnx)))
Solución
Ha introducido
[src]
/ cos(log(x)) \ asin\tan (2)/
$$\operatorname{asin}{\left(\tan^{\cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)} \right)}$$
asin(tan(2)^cos(log(x)))
Primera derivada
[src]
cos(log(x))
-tan (2)*(pi*I + log(-tan(2)))*sin(log(x))
-----------------------------------------------------
_________________________
/ 2*cos(log(x))
x*\/ 1 - tan (2)
$$- \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin{\left(\log{\left(x \right)} \right)} \tan^{\cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{x \sqrt{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}}$$
Segunda derivada
[src]
/ 2 2*cos(log(x)) \
cos(log(x)) | 2 sin (log(x))*tan (2)*(pi*I + log(-tan(2))) |
tan (2)*(pi*I + log(-tan(2)))*|-cos(log(x)) + sin (log(x))*(pi*I + log(-tan(2))) + ------------------------------------------------------ + sin(log(x))|
| 2*cos(log(x)) |
\ 1 - tan (2) /
------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________________
2 / 2*cos(log(x))
x *\/ 1 - tan (2)
$$\frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \left(\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin^{2}{\left(\log{\left(x \right)} \right)} + \sin{\left(\log{\left(x \right)} \right)} - \cos{\left(\log{\left(x \right)} \right)} + \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin^{2}{\left(\log{\left(x \right)} \right)} \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}\right) \tan^{\cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{x^{2} \sqrt{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}}$$
Tercera derivada
[src]
/ 2 3 2*cos(log(x)) 2 2*cos(log(x)) 2 3 4*cos(log(x)) 2*cos(log(x)) \
cos(log(x)) | 2 3 2 4*(pi*I + log(-tan(2))) *sin (log(x))*tan (2) 3*sin (log(x))*tan (2)*(pi*I + log(-tan(2))) 3*(pi*I + log(-tan(2))) *sin (log(x))*tan (2) 3*tan (2)*(pi*I + log(-tan(2)))*cos(log(x))*sin(log(x))|
tan (2)*(pi*I + log(-tan(2)))*|-sin(log(x)) + 3*cos(log(x)) - (pi*I + log(-tan(2))) *sin (log(x)) - 3*sin (log(x))*(pi*I + log(-tan(2))) + 3*(pi*I + log(-tan(2)))*cos(log(x))*sin(log(x)) - --------------------------------------------------------- - -------------------------------------------------------- - --------------------------------------------------------- + -------------------------------------------------------------------|
| 2*cos(log(x)) 2*cos(log(x)) 2 2*cos(log(x)) |
| 1 - tan (2) 1 - tan (2) / 2*cos(log(x)) \ 1 - tan (2) |
\ \1 - tan (2)/ /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________________
3 / 2*cos(log(x))
x *\/ 1 - tan (2)
$$\frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \left(- \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \sin^{3}{\left(\log{\left(x \right)} \right)} - 3 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin^{2}{\left(\log{\left(x \right)} \right)} + 3 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin{\left(\log{\left(x \right)} \right)} \cos{\left(\log{\left(x \right)} \right)} - \sin{\left(\log{\left(x \right)} \right)} + 3 \cos{\left(\log{\left(x \right)} \right)} - \frac{4 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \sin^{3}{\left(\log{\left(x \right)} \right)} \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}} - \frac{3 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin^{2}{\left(\log{\left(x \right)} \right)} \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}} + \frac{3 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sin{\left(\log{\left(x \right)} \right)} \cos{\left(\log{\left(x \right)} \right)} \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}} - \frac{3 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \sin^{3}{\left(\log{\left(x \right)} \right)} \tan^{4 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{\left(1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}\right)^{2}}\right) \tan^{\cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}{x^{3} \sqrt{1 - \tan^{2 \cos{\left(\log{\left(x \right)} \right)}}{\left(2 \right)}}}$$
Gráfico