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 (-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
- (x-sin(x))/(arcsin(x)-tg(x))
- (x menos seno de (x)) dividir por (arc seno de (x) menos tg(x))
- x-sinx/arcsinx-tgx
- (x-sin(x)) dividir por (arcsin(x)-tg(x))
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Expresiones semejantes
- (x-sin(x))/(arcsin(x)+tg(x))
- (x+sin(x))/(arcsin(x)-tg(x))
- (x-sinx)/(arcsinx-tg(x))
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Expresiones con funciones
- Seno sin
- sin(x)^4
- sin(x/3+3)+2*x
- sin(x)^sin(x)
- sin(x)/(1-x)
- sin(x^2+3)
Derivada de (x-sin(x))/(arcsin(x)-tg(x))
Solución
Ha introducido
[src]
x - sin(x) ---------------- asin(x) - tan(x)
$$\frac{x - \sin{\left(x \right)}}{- \tan{\left(x \right)} + \operatorname{asin}{\left(x \right)}}$$
(x - sin(x))/(asin(x) - tan(x))
Primera derivada
[src]
/ 2 1 \
(x - sin(x))*|1 + tan (x) - -----------|
| ________|
| / 2 |
1 - cos(x) \ \/ 1 - x /
---------------- + ----------------------------------------
asin(x) - tan(x) 2
(asin(x) - tan(x))
$$\frac{1 - \cos{\left(x \right)}}{- \tan{\left(x \right)} + \operatorname{asin}{\left(x \right)}} + \frac{\left(x - \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right)}{\left(- \tan{\left(x \right)} + \operatorname{asin}{\left(x \right)}\right)^{2}}$$
Segunda derivada
[src]
/ / 2\ \
| | / 2 1 \ | |
| | 2*|1 + tan (x) - -----------| | |
| | | ________| | |
| | | / 2 | | |
| | x / 2 \ \ \/ 1 - x / | / 2 1 \ |
|(x - sin(x))*|----------- - 2*\1 + tan (x)/*tan(x) + ------------------------------| 2*(-1 + cos(x))*|1 + tan (x) - -----------| |
| | 3/2 -asin(x) + tan(x) | | ________| |
| |/ 2\ | | / 2 | |
| \\1 - x / / \ \/ 1 - x / |
-|------------------------------------------------------------------------------------ + ------------------------------------------- + sin(x)|
\ -asin(x) + tan(x) -asin(x) + tan(x) /
-----------------------------------------------------------------------------------------------------------------------------------------------
-asin(x) + tan(x)
$$- \frac{\frac{\left(x - \sin{\left(x \right)}\right) \left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right)^{2}}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}}\right)}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}} + \frac{2 \left(\cos{\left(x \right)} - 1\right) \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right)}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}} + \sin{\left(x \right)}}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}}$$
Tercera derivada
[src]
/ 3 \ / 2\
| / 2 1 \ / x / 2 \ \ / 2 1 \| | / 2 1 \ |
| 6*|1 + tan (x) - -----------| 6*|----------- - 2*\1 + tan (x)/*tan(x)|*|1 + tan (x) - -----------|| | 2*|1 + tan (x) - -----------| |
| | ________| | 3/2 | | ________|| | | ________| |
| 2 2 | / 2 | |/ 2\ | | / 2 || | | / 2 | |
| 1 / 2 \ 3*x 2 / 2 \ \ \/ 1 - x / \\1 - x / / \ \/ 1 - x /| | x / 2 \ \ \/ 1 - x / | / 2 1 \
(x - sin(x))*|- ----------- + 2*\1 + tan (x)/ - ----------- + 4*tan (x)*\1 + tan (x)/ + ------------------------------ + --------------------------------------------------------------------| 3*(-1 + cos(x))*|----------- - 2*\1 + tan (x)/*tan(x) + ------------------------------| 3*|1 + tan (x) - -----------|*sin(x)
| 3/2 5/2 2 -asin(x) + tan(x) | | 3/2 -asin(x) + tan(x) | | ________|
| / 2\ / 2\ (-asin(x) + tan(x)) | |/ 2\ | | / 2 |
\ \1 - x / \1 - x / / \\1 - x / / \ \/ 1 - x /
-cos(x) + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + ------------------------------------
-asin(x) + tan(x) -asin(x) + tan(x) -asin(x) + tan(x)
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
-asin(x) + tan(x)
$$\frac{\frac{\left(x - \sin{\left(x \right)}\right) \left(- \frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{6 \left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right)}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right)^{3}}{\left(\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}\right)^{2}} - \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}} + \frac{3 \left(\cos{\left(x \right)} - 1\right) \left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right)^{2}}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}}\right)}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}} - \cos{\left(x \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1 - \frac{1}{\sqrt{1 - x^{2}}}\right) \sin{\left(x \right)}}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}}}{\tan{\left(x \right)} - \operatorname{asin}{\left(x \right)}}$$
Gráfico