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 x^-(4/5)
-
Derivada de x^-8
-
Derivada de x^2/lnx
-
Derivada de √x+2
-
Expresiones idénticas
- x^x^sinx
- x en el grado x en el grado seno de x
- xxsinx
Derivada de x^x^sinx
Solución
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ sin(x)\ / sin(x) \
\x / |x sin(x) /sin(x) \ |
x *|------- + x *|------ + cos(x)*log(x)|*log(x)|
\ x \ x / /
$$x^{x^{\sin{\left(x \right)}}} \left(x^{\sin{\left(x \right)}} \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right) \log{\left(x \right)} + \frac{x^{\sin{\left(x \right)}}}{x}\right)$$
Segunda derivada
[src]
/ /sin(x) \\
/ sin(x)\ | 2 2 2*|------ + cos(x)*log(x)||
\x / sin(x) | 1 sin(x) /1 /sin(x) \ \ /sin(x) \ /sin(x) 2*cos(x)\ \ x /|
x *x *|- -- + x *|- + |------ + cos(x)*log(x)|*log(x)| + |------ + cos(x)*log(x)| *log(x) - |------ + log(x)*sin(x) - --------|*log(x) + --------------------------|
| 2 \x \ x / / \ x / | 2 x | x |
\ x \ x / /
$$x^{x^{\sin{\left(x \right)}}} x^{\sin{\left(x \right)}} \left(x^{\sin{\left(x \right)}} \left(\left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right) \log{\left(x \right)} + \frac{1}{x}\right)^{2} + \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)^{2} \log{\left(x \right)} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{2 \cos{\left(x \right)}}{x} + \frac{\sin{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{2 \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)}{x} - \frac{1}{x^{2}}\right)$$
Tercera derivada
[src]
/ /sin(x) 2*cos(x)\ 2 \
| 3*|------ + log(x)*sin(x) - --------| /sin(x) \ /sin(x) \ / /sin(x) \\|
/ sin(x)\ | 3 3 | 2 x | 3*|------ + cos(x)*log(x)| 3*|------ + cos(x)*log(x)| | 2 2*|------ + cos(x)*log(x)|||
\x / sin(x) |2 2*sin(x) /1 /sin(x) \ \ /sin(x) \ / 2*sin(x) 3*sin(x) 3*cos(x)\ \ x / \ x / \ x / /sin(x) \ /sin(x) 2*cos(x)\ sin(x) /1 /sin(x) \ \ | 1 /sin(x) \ /sin(x) 2*cos(x)\ \ x /||
x *x *|-- + x *|- + |------ + cos(x)*log(x)|*log(x)| + |------ + cos(x)*log(x)| *log(x) - |cos(x)*log(x) - -------- + -------- + --------|*log(x) - ------------------------------------- - -------------------------- + --------------------------- - 3*|------ + cos(x)*log(x)|*|------ + log(x)*sin(x) - --------|*log(x) + 3*x *|- + |------ + cos(x)*log(x)|*log(x)|*|- -- + |------ + cos(x)*log(x)| *log(x) - |------ + log(x)*sin(x) - --------|*log(x) + --------------------------||
| 3 \x \ x / / \ x / | 3 x 2 | x 2 x \ x / | 2 x | \x \ x / / | 2 \ x / | 2 x | x ||
\x \ x x / x \ x / \ x \ x / //
$$x^{x^{\sin{\left(x \right)}}} x^{\sin{\left(x \right)}} \left(x^{2 \sin{\left(x \right)}} \left(\left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right) \log{\left(x \right)} + \frac{1}{x}\right)^{3} + 3 x^{\sin{\left(x \right)}} \left(\left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right) \log{\left(x \right)} + \frac{1}{x}\right) \left(\left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)^{2} \log{\left(x \right)} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{2 \cos{\left(x \right)}}{x} + \frac{\sin{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{2 \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)}{x} - \frac{1}{x^{2}}\right) + \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)^{3} \log{\left(x \right)} - 3 \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right) \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{2 \cos{\left(x \right)}}{x} + \frac{\sin{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} - \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{3 \sin{\left(x \right)}}{x} + \frac{3 \cos{\left(x \right)}}{x^{2}} - \frac{2 \sin{\left(x \right)}}{x^{3}}\right) \log{\left(x \right)} + \frac{3 \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)^{2}}{x} - \frac{3 \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{2 \cos{\left(x \right)}}{x} + \frac{\sin{\left(x \right)}}{x^{2}}\right)}{x} - \frac{3 \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)}{x^{2}} + \frac{2}{x^{3}}\right)$$
Gráfico