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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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- Derivada de:
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Derivada de x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- x^((x^x)^x)
- x en el grado ((x en el grado x) en el grado x)
- x((xx)x)
- xxxx
- x^x^x^x
Derivada de x^((x^x)^x)
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ x\ / x \
|/ x\ | |/ x\ x |
\\x / / |\x / / x\ / / x\\ |
x *|----- + \x / *\x*(1 + log(x)) + log\x //*log(x)|
\ x /
$$x^{\left(x^{x}\right)^{x}} \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right) \left(x^{x}\right)^{x} \log{\left(x \right)} + \frac{\left(x^{x}\right)^{x}}{x}\right)$$
Segunda derivada
[src]
/ x\
|/ x\ | x / x 2 2 / / x\\\
\\x / / / x\ | 1 / x\ /1 / / x\\ \ / / x\\ 2*\x*(1 + log(x)) + log\x //|
x *\x / *|- -- + \x / *|- + \x*(1 + log(x)) + log\x //*log(x)| + \x*(1 + log(x)) + log\x // *log(x) + (3 + 2*log(x))*log(x) + ----------------------------|
| 2 \x / x |
\ x /
$$x^{\left(x^{x}\right)^{x}} \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)^{2} \log{\left(x \right)} + \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right) \log{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x^{x}\right)^{x} + \left(2 \log{\left(x \right)} + 3\right) \log{\left(x \right)} + \frac{2 \left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)}{x} - \frac{1}{x^{2}}\right) \left(x^{x}\right)^{x}$$
Tercera derivada
[src]
/ x\ / 2 \
|/ x\ | x | 2*x 3 3 / / x\\ / / x\\ x / 2 / / x\\\ |
\\x / / / x\ |2 / x\ /1 / / x\\ \ / / x\\ 3*\x*(1 + log(x)) + log\x // 2*log(x) 3*\x*(1 + log(x)) + log\x // 3*(3 + 2*log(x)) / x\ /1 / / x\\ \ | 1 / / x\\ 2*\x*(1 + log(x)) + log\x //| / / x\\ |
x *\x / *|-- + \x / *|- + \x*(1 + log(x)) + log\x //*log(x)| + \x*(1 + log(x)) + log\x // *log(x) - ---------------------------- + -------- + ----------------------------- + ---------------- + 3*\x / *|- + \x*(1 + log(x)) + log\x //*log(x)|*|- -- + \x*(1 + log(x)) + log\x // *log(x) + (3 + 2*log(x))*log(x) + ----------------------------| + 3*(3 + 2*log(x))*\x*(1 + log(x)) + log\x //*log(x)|
| 3 \x / 2 x x x \x / | 2 x | |
\x x \ x / /
$$x^{\left(x^{x}\right)^{x}} \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)^{3} \log{\left(x \right)} + 3 \left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right) \left(2 \log{\left(x \right)} + 3\right) \log{\left(x \right)} + \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right) \log{\left(x \right)} + \frac{1}{x}\right)^{3} \left(x^{x}\right)^{2 x} + 3 \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right) \log{\left(x \right)} + \frac{1}{x}\right) \left(\left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)^{2} \log{\left(x \right)} + \left(2 \log{\left(x \right)} + 3\right) \log{\left(x \right)} + \frac{2 \left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)}{x} - \frac{1}{x^{2}}\right) \left(x^{x}\right)^{x} + \frac{3 \left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)^{2}}{x} + \frac{3 \left(2 \log{\left(x \right)} + 3\right)}{x} + \frac{2 \log{\left(x \right)}}{x} - \frac{3 \left(x \left(\log{\left(x \right)} + 1\right) + \log{\left(x^{x} \right)}\right)}{x^{2}} + \frac{2}{x^{3}}\right) \left(x^{x}\right)^{x}$$