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:
- Derivada de e^((3*x)^2)
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Derivada de d/dx(x)
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Derivada de (cos(x))^x^2
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Derivada de (8*x-15)^5
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Expresiones idénticas
- ((log(dos *x+ tres)/log(cuatro)))^asin(x)
- (( logaritmo de (2 multiplicar por x más 3) dividir por logaritmo de (4))) en el grado ar coseno de eno de (x)
- (( logaritmo de (dos multiplicar por x más tres) dividir por logaritmo de (cuatro))) en el grado ar coseno de eno de (x)
- ((log(2*x+3)/log(4)))asin(x)
- log2*x+3/log4asinx
- ((log(2x+3)/log(4)))^asin(x)
- ((log(2x+3)/log(4)))asin(x)
- log2x+3/log4asinx
- log2x+3/log4^asinx
- ((log(2*x+3) dividir por log(4)))^asin(x)
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Expresiones semejantes
- ((log(2*x-3)/log(4)))^asin(x)
- ((log(2*x+3)/log(4)))^arcsin(x)
- ((log(2*x+3)/log(4)))^arcsinx
Derivada de ((log(2*x+3)/log(4)))^asin(x)
Solución
Ha introducido
[src]
asin(x) /log(2*x + 3)\ |------------| \ log(4) /
$$\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}}\right)^{\operatorname{asin}{\left(x \right)}}$$
(log(2*x + 3)/log(4))^asin(x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ /log(2*x + 3)\ \
asin(x) |log|------------| |
/log(2*x + 3)\ | \ log(4) / 2*asin(x) |
|------------| *|----------------- + ----------------------|
\ log(4) / | ________ (2*x + 3)*log(2*x + 3)|
| / 2 |
\ \/ 1 - x /
$$\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}}\right)^{\operatorname{asin}{\left(x \right)}} \left(\frac{2 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right) \log{\left(2 x + 3 \right)}} + \frac{\log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\sqrt{1 - x^{2}}}\right)$$
Segunda derivada
[src]
/ 2 \
|/ /log(3 + 2*x)\ \ /log(3 + 2*x)\ |
asin(x) ||log|------------| | x*log|------------| |
/log(3 + 2*x)\ || \ log(4) / 2*asin(x) | \ log(4) / 4*asin(x) 4*asin(x) 4 |
|------------| *||----------------- + ----------------------| + ------------------- - ----------------------- - ------------------------ + ----------------------------------|
\ log(4) / || ________ (3 + 2*x)*log(3 + 2*x)| 3/2 2 2 2 ________ |
|| / 2 | / 2\ (3 + 2*x) *log(3 + 2*x) (3 + 2*x) *log (3 + 2*x) / 2 |
\\ \/ 1 - x / \1 - x / \/ 1 - x *(3 + 2*x)*log(3 + 2*x)/
$$\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}}\right)^{\operatorname{asin}{\left(x \right)}} \left(\frac{x \log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \left(\frac{2 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right) \log{\left(2 x + 3 \right)}} + \frac{\log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\sqrt{1 - x^{2}}}\right)^{2} - \frac{4 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{2} \log{\left(2 x + 3 \right)}} - \frac{4 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{2} \log{\left(2 x + 3 \right)}^{2}} + \frac{4}{\sqrt{1 - x^{2}} \left(2 x + 3\right) \log{\left(2 x + 3 \right)}}\right)$$
Tercera derivada
[src]
/ 3 \
|/ /log(3 + 2*x)\ \ /log(3 + 2*x)\ / /log(3 + 2*x)\ \ / /log(3 + 2*x)\ \ 2 /log(3 + 2*x)\ |
asin(x) ||log|------------| | log|------------| |log|------------| | |x*log|------------| | 3*x *log|------------| |
/log(3 + 2*x)\ || \ log(4) / 2*asin(x) | \ log(4) / | \ log(4) / 2*asin(x) | | \ log(4) / 4*asin(x) 4*asin(x) 4 | 12 12 \ log(4) / 16*asin(x) 16*asin(x) 24*asin(x) 6*x |
|------------| *||----------------- + ----------------------| + ----------------- + 3*|----------------- + ----------------------|*|------------------- - ----------------------- - ------------------------ + ----------------------------------| - ----------------------------------- - ------------------------------------ + ---------------------- + ----------------------- + ------------------------ + ------------------------ + ----------------------------------|
\ log(4) / || ________ (3 + 2*x)*log(3 + 2*x)| 3/2 | ________ (3 + 2*x)*log(3 + 2*x)| | 3/2 2 2 2 ________ | ________ ________ 5/2 3 3 3 3 2 3/2 |
|| / 2 | / 2\ | / 2 | | / 2\ (3 + 2*x) *log(3 + 2*x) (3 + 2*x) *log (3 + 2*x) / 2 | / 2 2 / 2 2 2 / 2\ (3 + 2*x) *log(3 + 2*x) (3 + 2*x) *log (3 + 2*x) (3 + 2*x) *log (3 + 2*x) / 2\ |
\\ \/ 1 - x / \1 - x / \ \/ 1 - x / \ \1 - x / \/ 1 - x *(3 + 2*x)*log(3 + 2*x)/ \/ 1 - x *(3 + 2*x) *log(3 + 2*x) \/ 1 - x *(3 + 2*x) *log (3 + 2*x) \1 - x / \1 - x / *(3 + 2*x)*log(3 + 2*x)/
$$\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}}\right)^{\operatorname{asin}{\left(x \right)}} \left(\frac{3 x^{2} \log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{6 x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(2 x + 3\right) \log{\left(2 x + 3 \right)}} + \left(\frac{2 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right) \log{\left(2 x + 3 \right)}} + \frac{\log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\sqrt{1 - x^{2}}}\right)^{3} + 3 \left(\frac{2 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right) \log{\left(2 x + 3 \right)}} + \frac{\log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\sqrt{1 - x^{2}}}\right) \left(\frac{x \log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{4 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{2} \log{\left(2 x + 3 \right)}} - \frac{4 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{2} \log{\left(2 x + 3 \right)}^{2}} + \frac{4}{\sqrt{1 - x^{2}} \left(2 x + 3\right) \log{\left(2 x + 3 \right)}}\right) + \frac{16 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{3} \log{\left(2 x + 3 \right)}} + \frac{24 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{3} \log{\left(2 x + 3 \right)}^{2}} + \frac{16 \operatorname{asin}{\left(x \right)}}{\left(2 x + 3\right)^{3} \log{\left(2 x + 3 \right)}^{3}} - \frac{12}{\sqrt{1 - x^{2}} \left(2 x + 3\right)^{2} \log{\left(2 x + 3 \right)}} - \frac{12}{\sqrt{1 - x^{2}} \left(2 x + 3\right)^{2} \log{\left(2 x + 3 \right)}^{2}} + \frac{\log{\left(\frac{\log{\left(2 x + 3 \right)}}{\log{\left(4 \right)}} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)$$
Gráfico