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 e^x*sin(x)
- Derivada de x!
-
Derivada de e^x*x^3
-
Derivada de e^x/x^2
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Expresiones idénticas
- (x^tgx)/(uno +arcsinx)
- (x en el grado tgx) dividir por (1 más arc seno de x)
- (x en el grado tgx) dividir por (uno más arc seno de x)
- (xtgx)/(1+arcsinx)
- xtgx/1+arcsinx
- x^tgx/1+arcsinx
- (x^tgx) dividir por (1+arcsinx)
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Expresiones semejantes
- (x^tgx)/(1-arcsinx)
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Expresiones con funciones
- tgx
- tgx-ctgx
- arcsinx
- arcsinx^3
Derivada de (x^tgx)/(1+arcsinx)
Solución
Ha introducido
[src]
tan(x) x ----------- 1 + asin(x)
$$\frac{x^{\tan{\left(x \right)}}}{\operatorname{asin}{\left(x \right)} + 1}$$
x^tan(x)/(1 + asin(x))
Primera derivada
[src]
tan(x) /tan(x) / 2 \ \
x *|------ + \1 + tan (x)/*log(x)| tan(x)
\ x / x
--------------------------------------- - --------------------------
1 + asin(x) ________
/ 2 2
\/ 1 - x *(1 + asin(x))
$$\frac{x^{\tan{\left(x \right)}} \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)}{\operatorname{asin}{\left(x \right)} + 1} - \frac{x^{\tan{\left(x \right)}}}{\sqrt{1 - x^{2}} \left(\operatorname{asin}{\left(x \right)} + 1\right)^{2}}$$
Segunda derivada
[src]
/ x 2 \
| ----------- + ----------------------- |
| 3/2 / 2\ /tan(x) / 2 \ \ |
| 2 / 2\ (1 + asin(x))*\-1 + x / / 2 \ 2*|------ + \1 + tan (x)/*log(x)| |
tan(x) |/tan(x) / 2 \ \ tan(x) \1 - x / 2*\1 + tan (x)/ \ x / / 2 \ |
x *||------ + \1 + tan (x)/*log(x)| - ------ - ------------------------------------- + --------------- - --------------------------------- + 2*\1 + tan (x)/*log(x)*tan(x)|
|\ x / 2 1 + asin(x) x ________ |
| x / 2 |
\ \/ 1 - x *(1 + asin(x)) /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 + asin(x)
$$\frac{x^{\tan{\left(x \right)}} \left(- \frac{\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(x^{2} - 1\right) \left(\operatorname{asin}{\left(x \right)} + 1\right)}}{\operatorname{asin}{\left(x \right)} + 1} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} - \frac{2 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)}{\sqrt{1 - x^{2}} \left(\operatorname{asin}{\left(x \right)} + 1\right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right)}{\operatorname{asin}{\left(x \right)} + 1}$$
3-я производная
[src]
/ 2 \
| 1 3*x 6 6*x / 2 / 2 \ \ / x 2 \ /tan(x) / 2 \ \ |
| ----------- + ----------- + -------------------------- - ------------------------ |/tan(x) / 2 \ \ tan(x) 2*\1 + tan (x)/ / 2 \ | 3*|----------- + -----------------------|*|------ + \1 + tan (x)/*log(x)| |
| 3/2 5/2 3/2 2 3*||------ + \1 + tan (x)/*log(x)| - ------ + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)| | 3/2 / 2\| \ x / |
| 3 / 2\ / 2\ / 2\ 2 / 2\ / 2 \ 2 / / 2 \ \ |\ x / 2 x | |/ 2\ (1 + asin(x))*\-1 + x /| / 2 \ |
tan(x) |/tan(x) / 2 \ \ \1 - x / \1 - x / \1 - x / *(1 + asin(x)) (1 + asin(x))*\-1 + x / 3*\1 + tan (x)/ 2*tan(x) / 2 \ /tan(x) / 2 \ \ | tan(x) 2*\1 + tan (x)/ / 2 \ | \ x / \\1 - x / / 2 / 2 \ 6*\1 + tan (x)/*tan(x)|
x *||------ + \1 + tan (x)/*log(x)| - --------------------------------------------------------------------------------- - --------------- + -------- + 2*\1 + tan (x)/ *log(x) + 3*|------ + \1 + tan (x)/*log(x)|*|- ------ + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)| - ----------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------- + 4*tan (x)*\1 + tan (x)/*log(x) + ----------------------|
|\ x / 1 + asin(x) 2 3 \ x / | 2 x | ________ 1 + asin(x) x |
| x x \ x / / 2 |
\ \/ 1 - x *(1 + asin(x)) /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 + asin(x)
$$\frac{x^{\tan{\left(x \right)}} \left(- \frac{3 \left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(x^{2} - 1\right) \left(\operatorname{asin}{\left(x \right)} + 1\right)}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)}{\operatorname{asin}{\left(x \right)} + 1} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{3} + 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} - \frac{\frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{6 x}{\left(x^{2} - 1\right)^{2} \left(\operatorname{asin}{\left(x \right)} + 1\right)} + \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\operatorname{asin}{\left(x \right)} + 1\right)^{2}}}{\operatorname{asin}{\left(x \right)} + 1} - \frac{3 \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right)}{\sqrt{1 - x^{2}} \left(\operatorname{asin}{\left(x \right)} + 1\right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3}}\right)}{\operatorname{asin}{\left(x \right)} + 1}$$
Tercera derivada
[src]
/ 2 \
| 1 3*x 6 6*x / 2 / 2 \ \ / x 2 \ /tan(x) / 2 \ \ |
| ----------- + ----------- + -------------------------- - ------------------------ |/tan(x) / 2 \ \ tan(x) 2*\1 + tan (x)/ / 2 \ | 3*|----------- + -----------------------|*|------ + \1 + tan (x)/*log(x)| |
| 3/2 5/2 3/2 2 3*||------ + \1 + tan (x)/*log(x)| - ------ + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)| | 3/2 / 2\| \ x / |
| 3 / 2\ / 2\ / 2\ 2 / 2\ / 2 \ 2 / / 2 \ \ |\ x / 2 x | |/ 2\ (1 + asin(x))*\-1 + x /| / 2 \ |
tan(x) |/tan(x) / 2 \ \ \1 - x / \1 - x / \1 - x / *(1 + asin(x)) (1 + asin(x))*\-1 + x / 3*\1 + tan (x)/ 2*tan(x) / 2 \ /tan(x) / 2 \ \ | tan(x) 2*\1 + tan (x)/ / 2 \ | \ x / \\1 - x / / 2 / 2 \ 6*\1 + tan (x)/*tan(x)|
x *||------ + \1 + tan (x)/*log(x)| - --------------------------------------------------------------------------------- - --------------- + -------- + 2*\1 + tan (x)/ *log(x) + 3*|------ + \1 + tan (x)/*log(x)|*|- ------ + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)| - ----------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------- + 4*tan (x)*\1 + tan (x)/*log(x) + ----------------------|
|\ x / 1 + asin(x) 2 3 \ x / | 2 x | ________ 1 + asin(x) x |
| x x \ x / / 2 |
\ \/ 1 - x *(1 + asin(x)) /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 + asin(x)
$$\frac{x^{\tan{\left(x \right)}} \left(- \frac{3 \left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(x^{2} - 1\right) \left(\operatorname{asin}{\left(x \right)} + 1\right)}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)}{\operatorname{asin}{\left(x \right)} + 1} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{3} + 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} - \frac{\frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{6 x}{\left(x^{2} - 1\right)^{2} \left(\operatorname{asin}{\left(x \right)} + 1\right)} + \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\operatorname{asin}{\left(x \right)} + 1\right)^{2}}}{\operatorname{asin}{\left(x \right)} + 1} - \frac{3 \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right)}{\sqrt{1 - x^{2}} \left(\operatorname{asin}{\left(x \right)} + 1\right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3}}\right)}{\operatorname{asin}{\left(x \right)} + 1}$$
Gráfico