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 2*cos(3*x)
-
Derivada de x^(7/6)
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Derivada de (x^2)/4
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Derivada de t
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Expresiones idénticas
- asin(sin(x)/cos(x))
- ar coseno de eno de ( seno de (x) dividir por coseno de (x))
- asinsinx/cosx
- asin(sin(x) dividir por cos(x))
-
Expresiones semejantes
- arcsin(sin(x)/cos(x))
- asin(sinx/cosx)
-
Expresiones con funciones
- Arcoseno arcsin
- asin(x-1)
- asin((x-1)/x)
- asin(2*x)*2-8*x+cosh(5*x)*log(8*x)-e-2
- asin(2-x)
- asin(x/3)
- Seno sin
- sin(x)/cos(x)^(2)
- sin(x)/(x*cos(x))
- sin(x)^(5)
- sin(x)^(4)
- sin(x)*sin(x)*sin(x)
- Coseno cos
- cos(x)+49
- cos(x-1)
- cos(sqrt(x)+3*x)
- cos(√sin(tanπx))
- cos√(sin(tan(πx)))
Derivada de asin(sin(x)/cos(x))
Solución
Ha introducido
[src]
/sin(x)\
asin|------|
\cos(x)/
$$\operatorname{asin}{\left(\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} \right)}$$
asin(sin(x)/cos(x))
Primera derivada
[src]
2
sin (x)
1 + -------
2
cos (x)
-------------------
_____________
/ 2
/ sin (x)
/ 1 - -------
/ 2
\/ cos (x)
$$\frac{\frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1}{\sqrt{- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1}}$$
Segunda derivada
[src]
/ 2 \
| sin (x)|
| 1 + -------|
/ 2 \ | 2 |
| sin (x)| | cos (x)|
|1 + -------|*|2 + -----------|*sin(x)
| 2 | | 2 |
\ cos (x)/ | sin (x)|
| 1 - -------|
| 2 |
\ cos (x)/
--------------------------------------
_____________
/ 2
/ sin (x)
/ 1 - ------- *cos(x)
/ 2
\/ cos (x)
$$\frac{\left(2 + \frac{\frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1}{- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1}\right) \left(\frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right) \sin{\left(x \right)}}{\sqrt{- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1} \cos{\left(x \right)}}$$
Tercera derivada
[src]
3 2
/ 2 \ / 4 2 \ / 2 \ / 2 \
| sin (x)| | 3*sin (x) 4*sin (x)| | sin (x)| 2 | sin (x)| 2
|1 + -------|*|1 + --------- + ---------| 3*|1 + -------| *sin (x) 4*|1 + -------| *sin (x)
4 2 | 2 | | 4 2 | | 2 | | 2 |
6*sin (x) 8*sin (x) \ cos (x)/ \ cos (x) cos (x) / \ cos (x)/ \ cos (x)/
2 + --------- + --------- + ----------------------------------------- + ------------------------ + ------------------------
4 2 2 2 / 2 \
cos (x) cos (x) sin (x) / 2 \ | sin (x)| 2
1 - ------- | sin (x)| 2 |1 - -------|*cos (x)
2 |1 - -------| *cos (x) | 2 |
cos (x) | 2 | \ cos (x)/
\ cos (x)/
---------------------------------------------------------------------------------------------------------------------------
_____________
/ 2
/ sin (x)
/ 1 - -------
/ 2
\/ cos (x)
$$\frac{\frac{6 \sin^{4}{\left(x \right)}}{\cos^{4}{\left(x \right)}} + \frac{8 \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 + \frac{4 \left(\frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right)^{2} \sin^{2}{\left(x \right)}}{\left(- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right) \cos^{2}{\left(x \right)}} + \frac{\left(\frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right) \left(\frac{3 \sin^{4}{\left(x \right)}}{\cos^{4}{\left(x \right)}} + \frac{4 \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right)}{- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1} + \frac{3 \left(\frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right)^{3} \sin^{2}{\left(x \right)}}{\left(- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right)^{2} \cos^{2}{\left(x \right)}}}{\sqrt{- \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1}}$$
Gráfico