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 (x-1)/(x+1)
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Derivada de -3/x
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Derivada de x^3*log(x)
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Derivada de x*e
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Expresiones idénticas
- x*log(x, dos)/arcsin(tres *x)
- x multiplicar por logaritmo de (x,2) dividir por arc seno de (3 multiplicar por x)
- x multiplicar por logaritmo de (x, dos) dividir por arc seno de (tres multiplicar por x)
- xlog(x,2)/arcsin(3x)
- xlogx,2/arcsin3x
- x*log(x,2) dividir por arcsin(3*x)
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Expresiones con funciones
- Logaritmo log
- log(x^-1)
- log((1+x)/(1-x))
- log(t-1)
- log(e^x)
- logax
- arcsin
- arcsinx/2
- arcsin(√x)
- arcsin4x
- arcsin((x-1)/x)
- arcsin(x-1)/x
Derivada de x*log(x,2)/arcsin(3*x)
Solución
Ha introducido
[src]
log(x) x*------ log(2) --------- asin(3*x)
$$\frac{x \frac{\log{\left(x \right)}}{\log{\left(2 \right)}}}{\operatorname{asin}{\left(3 x \right)}}$$
(x*(log(x)/log(2)))/asin(3*x)
Primera derivada
[src]
1 log(x)
------ + ------
log(2) log(2) 3*x*log(x)
--------------- - -------------------------------
asin(3*x) __________
/ 2 2
\/ 1 - 9*x *asin (3*x)*log(2)
$$- \frac{3 x \log{\left(x \right)}}{\sqrt{1 - 9 x^{2}} \log{\left(2 \right)} \operatorname{asin}^{2}{\left(3 x \right)}} + \frac{\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} + \frac{1}{\log{\left(2 \right)}}}{\operatorname{asin}{\left(3 x \right)}}$$
Segunda derivada
[src]
/ 2 3*x \
9*x*|--------------------- + -------------|*log(x)
|/ 2\ 3/2|
|\-1 + 9*x /*asin(3*x) / 2\ |
1 6*(1 + log(x)) \ \1 - 9*x / /
- - ----------------------- - --------------------------------------------------
x __________ asin(3*x)
/ 2
\/ 1 - 9*x *asin(3*x)
--------------------------------------------------------------------------------
asin(3*x)*log(2)
$$\frac{- \frac{9 x \left(\frac{3 x}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(9 x^{2} - 1\right) \operatorname{asin}{\left(3 x \right)}}\right) \log{\left(x \right)}}{\operatorname{asin}{\left(3 x \right)}} - \frac{6 \left(\log{\left(x \right)} + 1\right)}{\sqrt{1 - 9 x^{2}} \operatorname{asin}{\left(3 x \right)}} + \frac{1}{x}}{\log{\left(2 \right)} \operatorname{asin}{\left(3 x \right)}}$$
Tercera derivada
[src]
/ / 2 \ \
| / 2 3*x \ | 1 6 27*x 18*x | |
| 27*(1 + log(x))*|--------------------- + -------------| 27*x*|------------- + ------------------------ + ------------- - ----------------------|*log(x)|
| |/ 2\ 3/2| | 3/2 3/2 5/2 2 | |
| |\-1 + 9*x /*asin(3*x) / 2\ | |/ 2\ / 2\ 2 / 2\ / 2\ | |
|1 9 \ \1 - 9*x / / \\1 - 9*x / \1 - 9*x / *asin (3*x) \1 - 9*x / \-1 + 9*x / *asin(3*x)/ |
-|-- + ------------------------- + ------------------------------------------------------- + -----------------------------------------------------------------------------------------------|
| 2 __________ asin(3*x) asin(3*x) |
|x / 2 |
\ x*\/ 1 - 9*x *asin(3*x) /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
asin(3*x)*log(2)
$$- \frac{\frac{27 x \left(\frac{27 x^{2}}{\left(1 - 9 x^{2}\right)^{\frac{5}{2}}} - \frac{18 x}{\left(9 x^{2} - 1\right)^{2} \operatorname{asin}{\left(3 x \right)}} + \frac{1}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(3 x \right)}}\right) \log{\left(x \right)}}{\operatorname{asin}{\left(3 x \right)}} + \frac{27 \left(\frac{3 x}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(9 x^{2} - 1\right) \operatorname{asin}{\left(3 x \right)}}\right) \left(\log{\left(x \right)} + 1\right)}{\operatorname{asin}{\left(3 x \right)}} + \frac{9}{x \sqrt{1 - 9 x^{2}} \operatorname{asin}{\left(3 x \right)}} + \frac{1}{x^{2}}}{\log{\left(2 \right)} \operatorname{asin}{\left(3 x \right)}}$$
Gráfico