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/4
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Derivada de x^(2*x)
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Derivada de 6
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Derivada de x^(3*x)
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Expresiones idénticas
- y=(tanhx)^lnx
- y es igual a ( tangente de gente hiperbólica de x) en el grado lnx
- y=(tanhx)lnx
- y=tanhxlnx
- y=tanhx^lnx
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Expresiones con funciones
- lnx
- lnx/x^2
- lnx-sinx
- lnx/e^x^2
- lnx/x^3
- lnx+4x^5
Derivada de y=(tanhx)^lnx
Solución
Ha introducido
[src]
log(x) tanh (x)
$$\tanh^{\log{\left(x \right)}}{\left(x \right)}$$
tanh(x)^log(x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
log(x) |log(tanh(x)) \1 - tanh (x)/*log(x)|
tanh (x)*|------------ + ---------------------|
\ x tanh(x) /
$$\left(\frac{\left(1 - \tanh^{2}{\left(x \right)}\right) \log{\left(x \right)}}{\tanh{\left(x \right)}} + \frac{\log{\left(\tanh{\left(x \right)} \right)}}{x}\right) \tanh^{\log{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \|
log(x) || log(tanh(x)) \-1 + tanh (x)/*log(x)| log(tanh(x)) / 2 \ \-1 + tanh (x)/ *log(x) 2*\-1 + tanh (x)/|
tanh (x)*||- ------------ + ----------------------| - ------------ + 2*\-1 + tanh (x)/*log(x) - ----------------------- - -----------------|
|\ x tanh(x) / 2 2 x*tanh(x) |
\ x tanh (x) /
$$\left(\left(\frac{\left(\tanh^{2}{\left(x \right)} - 1\right) \log{\left(x \right)}}{\tanh{\left(x \right)}} - \frac{\log{\left(\tanh{\left(x \right)} \right)}}{x}\right)^{2} - \frac{\left(\tanh^{2}{\left(x \right)} - 1\right)^{2} \log{\left(x \right)}}{\tanh^{2}{\left(x \right)}} + 2 \left(\tanh^{2}{\left(x \right)} - 1\right) \log{\left(x \right)} - \frac{2 \left(\tanh^{2}{\left(x \right)} - 1\right)}{x \tanh{\left(x \right)}} - \frac{\log{\left(\tanh{\left(x \right)} \right)}}{x^{2}}\right) \tanh^{\log{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \| / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
log(x) | | log(tanh(x)) \-1 + tanh (x)/*log(x)| 2*log(tanh(x)) | log(tanh(x)) \-1 + tanh (x)/*log(x)| |log(tanh(x)) / 2 \ \-1 + tanh (x)/ *log(x) 2*\-1 + tanh (x)/| 6*\-1 + tanh (x)/ / 2 \ 3*\-1 + tanh (x)/ 2*\-1 + tanh (x)/ *log(x) 3*\-1 + tanh (x)/ 4*\-1 + tanh (x)/ *log(x)|
tanh (x)*|- |- ------------ + ----------------------| + -------------- + 3*|- ------------ + ----------------------|*|------------ - 2*\-1 + tanh (x)/*log(x) + ----------------------- + -----------------| + ----------------- - 4*\-1 + tanh (x)/*log(x)*tanh(x) - ------------------ - ------------------------- + ----------------- + -------------------------|
| \ x tanh(x) / 3 \ x tanh(x) / | 2 2 x*tanh(x) | x 2 3 2 tanh(x) |
\ x \ x tanh (x) / x*tanh (x) tanh (x) x *tanh(x) /
$$\left(- \left(\frac{\left(\tanh^{2}{\left(x \right)} - 1\right) \log{\left(x \right)}}{\tanh{\left(x \right)}} - \frac{\log{\left(\tanh{\left(x \right)} \right)}}{x}\right)^{3} + 3 \left(\frac{\left(\tanh^{2}{\left(x \right)} - 1\right) \log{\left(x \right)}}{\tanh{\left(x \right)}} - \frac{\log{\left(\tanh{\left(x \right)} \right)}}{x}\right) \left(\frac{\left(\tanh^{2}{\left(x \right)} - 1\right)^{2} \log{\left(x \right)}}{\tanh^{2}{\left(x \right)}} - 2 \left(\tanh^{2}{\left(x \right)} - 1\right) \log{\left(x \right)} + \frac{2 \left(\tanh^{2}{\left(x \right)} - 1\right)}{x \tanh{\left(x \right)}} + \frac{\log{\left(\tanh{\left(x \right)} \right)}}{x^{2}}\right) - \frac{2 \left(\tanh^{2}{\left(x \right)} - 1\right)^{3} \log{\left(x \right)}}{\tanh^{3}{\left(x \right)}} + \frac{4 \left(\tanh^{2}{\left(x \right)} - 1\right)^{2} \log{\left(x \right)}}{\tanh{\left(x \right)}} - 4 \left(\tanh^{2}{\left(x \right)} - 1\right) \log{\left(x \right)} \tanh{\left(x \right)} - \frac{3 \left(\tanh^{2}{\left(x \right)} - 1\right)^{2}}{x \tanh^{2}{\left(x \right)}} + \frac{6 \left(\tanh^{2}{\left(x \right)} - 1\right)}{x} + \frac{3 \left(\tanh^{2}{\left(x \right)} - 1\right)}{x^{2} \tanh{\left(x \right)}} + \frac{2 \log{\left(\tanh{\left(x \right)} \right)}}{x^{3}}\right) \tanh^{\log{\left(x \right)}}{\left(x \right)}$$
Gráfico