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- 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
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- Derivada de:
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Derivada de 1/(x+3)
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Derivada de 2^(5*x)
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Derivada de x^(5*x)
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Derivada de x^-(4/5)
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Expresiones idénticas
- (x*sin(x))^(ln(x)* dos ^ dos ^x)
- (x multiplicar por seno de (x)) en el grado (ln(x) multiplicar por 2 al cuadrado en el grado x)
- (x multiplicar por seno de (x)) en el grado (ln(x) multiplicar por dos en el grado dos en el grado x)
- (x*sin(x))(ln(x)*22x)
- x*sinxlnx*22x
- (x*sin(x))^(ln(x)*2²^x)
- (x*sin(x)) en el grado (ln(x)*2 en el grado 2 en el grado x)
- (xsin(x))^(ln(x)2^2^x)
- (xsin(x))(ln(x)22x)
- xsinxlnx22x
- xsinx^lnx2^2^x
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Expresiones semejantes
- (x*sinx)^(ln(x)*2^2^x)
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Expresiones con funciones
- Seno sin
- sin(x+(cos(x))^(2/3))
- sin(x+a)
- sin(x)^4
- sin⁹x
- sin9x
- ln
- ln(×)
- ln(3x²)
- ln(x+1)²
- ln(x^(1÷2)+2)
- ln(1+x²)
Derivada de (x*sin(x))^(ln(x)*2^2^x)
Solución
Ha introducido
[src]
/ x\
\2 /
log(x)*2
(x*sin(x))
$$\left(x \sin{\left(x \right)}\right)^{2^{2^{x}} \log{\left(x \right)}}$$
(x*sin(x))^(log(x)*2^(2^x))
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
/ x\ // / x\ \ / x\ \
\2 / || \2 / / x\ | \2 / |
log(x)*2 ||2 x \2 / 2 | 2 *(x*cos(x) + sin(x))*log(x)|
(x*sin(x)) *||----- + 2 *2 *log (2)*log(x)|*log(x*sin(x)) + --------------------------------|
\\ x / x*sin(x) /
$$\left(x \sin{\left(x \right)}\right)^{2^{2^{x}} \log{\left(x \right)}} \left(\frac{2^{2^{x}} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}} + \left(2^{2^{x}} 2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{2^{2^{x}}}{x}\right) \log{\left(x \sin{\left(x \right)} \right)}\right)$$
Segunda derivada
[src]
/ x\ / /1 x 2 \ \
/ x\ \2 / | / x\ 2 / x 2 \ |- + 2 *log (2)*log(x)|*(x*cos(x) + sin(x)) x 2 |
\2 / 2 *log(x) | \2 / //1 x 2 \ (x*cos(x) + sin(x))*log(x)\ | 1 x 3 2*x 4 2*2 *log (2)| x*cos(x) + sin(x) \x / (-2*cos(x) + x*sin(x))*log(x) (x*cos(x) + sin(x))*log(x) (x*cos(x) + sin(x))*cos(x)*log(x) 2 *log (2)*(x*cos(x) + sin(x))*log(x)|
2 *(x*sin(x)) *|2 *||- + 2 *log (2)*log(x)|*log(x*sin(x)) + --------------------------| + |- -- + 2 *log (2)*log(x) + 2 *log (2)*log(x) + ------------|*log(x*sin(x)) + ----------------- + ------------------------------------------- - ----------------------------- - -------------------------- - --------------------------------- + -------------------------------------|
| \\x / x*sin(x) / | 2 x | 2 x*sin(x) x*sin(x) 2 2 x*sin(x) |
\ \ x / x *sin(x) x *sin(x) x*sin (x) /
$$2^{2^{x}} \left(x \sin{\left(x \right)}\right)^{2^{2^{x}} \log{\left(x \right)}} \left(2^{2^{x}} \left(\left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}}\right)^{2} + \frac{2^{x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{2} \log{\left(x \right)}}{x \sin{\left(x \right)}} + \left(2^{2 x} \log{\left(2 \right)}^{4} \log{\left(x \right)} + 2^{x} \log{\left(2 \right)}^{3} \log{\left(x \right)} + \frac{2 \cdot 2^{x} \log{\left(2 \right)}^{2}}{x} - \frac{1}{x^{2}}\right) \log{\left(x \sin{\left(x \right)} \right)} - \frac{\left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right)}{x \sin{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)} \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x^{2} \sin{\left(x \right)}} + \frac{x \cos{\left(x \right)} + \sin{\left(x \right)}}{x^{2} \sin{\left(x \right)}}\right)$$
Tercera derivada
[src]
/ / x 2 \ \
| | 1 x 3 2*x 4 2*2 *log (2)| |
/ x\ | / /1 x 2 \ \ /1 x 2 \ /1 x 2 \ 2*(x*cos(x) + sin(x))*|- -- + 2 *log (2)*log(x) + 2 *log (2)*log(x) + ------------| /1 x 2 \ |
/ x\ \2 / | x 3 / x 2 x 3 2*x 4 \ / x\ |/ x 2 \ |- + 2 *log (2)*log(x)|*(x*cos(x) + sin(x)) x 2 | |- + 2 *log (2)*log(x)|*(-2*cos(x) + x*sin(x)) |- + 2 *log (2)*log(x)|*(x*cos(x) + sin(x)) | 2 x | |- + 2 *log (2)*log(x)|*(x*cos(x) + sin(x))*cos(x) x 2 2 x 3 2*x 4 x 2 x 2 x 2 |
\2 / 2 *log(x) | 2*2 //1 x 2 \ (x*cos(x) + sin(x))*log(x)\ |2 x 4 3*x 6 3*2 *log (2) 3*2 *log (2) 3*2 *log (2) 2*x 5 | 3*(x*cos(x) + sin(x)) 2*(-2*cos(x) + x*sin(x)) \2 / //1 x 2 \ (x*cos(x) + sin(x))*log(x)\ || 1 x 3 2*x 4 2*2 *log (2)| x*cos(x) + sin(x) \x / (-2*cos(x) + x*sin(x))*log(x) (x*cos(x) + sin(x))*log(x) (x*cos(x) + sin(x))*cos(x)*log(x) 2 *log (2)*(x*cos(x) + sin(x))*log(x)| (x*cos(x) + sin(x))*log(x) \x / (3*sin(x) + x*cos(x))*log(x) \x / 2*(x*cos(x) + sin(x))*cos(x) \ x / 2*(x*cos(x) + sin(x))*log(x) 2*(-2*cos(x) + x*sin(x))*log(x) \x / 2*2 *log (2)*(x*cos(x) + sin(x)) 2*cos (x)*(x*cos(x) + sin(x))*log(x) 2*(-2*cos(x) + x*sin(x))*cos(x)*log(x) 2*(x*cos(x) + sin(x))*cos(x)*log(x) 2 *log (2)*(x*cos(x) + sin(x))*log(x) 2 *log (2)*(x*cos(x) + sin(x))*log(x) 2*2 *log (2)*(-2*cos(x) + x*sin(x))*log(x) 2*2 *log (2)*(x*cos(x) + sin(x))*log(x) 2*2 *log (2)*(x*cos(x) + sin(x))*cos(x)*log(x)|
2 *(x*sin(x)) *|2 *||- + 2 *log (2)*log(x)|*log(x*sin(x)) + --------------------------| + |-- + 2 *log (2)*log(x) + 2 *log (2)*log(x) - ------------ + ------------ + -------------- + 3*2 *log (2)*log(x)|*log(x*sin(x)) - --------------------- - ------------------------ + 3*2 *||- + 2 *log (2)*log(x)|*log(x*sin(x)) + --------------------------|*||- -- + 2 *log (2)*log(x) + 2 *log (2)*log(x) + ------------|*log(x*sin(x)) + ----------------- + ------------------------------------------- - ----------------------------- - -------------------------- - --------------------------------- + -------------------------------------| + -------------------------- - ---------------------------------------------- - ---------------------------- - ------------------------------------------- - ---------------------------- + ------------------------------------------------------------------------------------- + ---------------------------- + ------------------------------- - -------------------------------------------------- + -------------------------------- + ------------------------------------ + -------------------------------------- + ----------------------------------- + ------------------------------------- + --------------------------------------- - ------------------------------------------ - --------------------------------------- - ----------------------------------------------|
| \\x / x*sin(x) / | 3 2 x x | 3 2 \\x / x*sin(x) / || 2 x | 2 x*sin(x) x*sin(x) 2 2 x*sin(x) | x*sin(x) x*sin(x) x*sin(x) 2 2 2 x*sin(x) 3 2 2 2 3 2 2 2 x*sin(x) x*sin(x) x*sin(x) 2 2 |
\ \x x / x *sin(x) x *sin(x) \\ x / x *sin(x) x *sin(x) x*sin (x) / x *sin(x) x *sin (x) x *sin(x) x *sin(x) x*sin (x) x *sin(x) x*sin (x) x*sin (x) x *sin (x) x *sin(x) x*sin (x) /
$$2^{2^{x}} \left(x \sin{\left(x \right)}\right)^{2^{2^{x}} \log{\left(x \right)}} \left(2^{2 \cdot 2^{x}} \left(\left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}}\right)^{3} + 3 \cdot 2^{2^{x}} \left(\left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}}\right) \left(\frac{2^{x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{2} \log{\left(x \right)}}{x \sin{\left(x \right)}} + \left(2^{2 x} \log{\left(2 \right)}^{4} \log{\left(x \right)} + 2^{x} \log{\left(2 \right)}^{3} \log{\left(x \right)} + \frac{2 \cdot 2^{x} \log{\left(2 \right)}^{2}}{x} - \frac{1}{x^{2}}\right) \log{\left(x \sin{\left(x \right)} \right)} - \frac{\left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right)}{x \sin{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)} \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x^{2} \sin{\left(x \right)}} + \frac{x \cos{\left(x \right)} + \sin{\left(x \right)}}{x^{2} \sin{\left(x \right)}}\right) + \frac{2^{2 x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{4} \log{\left(x \right)}}{x \sin{\left(x \right)}} - \frac{2 \cdot 2^{x} \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(2 \right)}^{2} \log{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{2^{x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{3} \log{\left(x \right)}}{x \sin{\left(x \right)}} - \frac{2 \cdot 2^{x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{2} \log{\left(x \right)} \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} - \frac{2 \cdot 2^{x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{2} \log{\left(x \right)}}{x^{2} \sin{\left(x \right)}} + \frac{2 \cdot 2^{x} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(2 \right)}^{2}}{x^{2} \sin{\left(x \right)}} + \left(2^{3 x} \log{\left(2 \right)}^{6} \log{\left(x \right)} + 3 \cdot 2^{2 x} \log{\left(2 \right)}^{5} \log{\left(x \right)} + \frac{3 \cdot 2^{2 x} \log{\left(2 \right)}^{4}}{x} + 2^{x} \log{\left(2 \right)}^{4} \log{\left(x \right)} + \frac{3 \cdot 2^{x} \log{\left(2 \right)}^{3}}{x} - \frac{3 \cdot 2^{x} \log{\left(2 \right)}^{2}}{x^{2}} + \frac{2}{x^{3}}\right) \log{\left(x \sin{\left(x \right)} \right)} - \frac{\left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right)}{x \sin{\left(x \right)}} + \frac{2 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(x \right)} \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(2^{2 x} \log{\left(2 \right)}^{4} \log{\left(x \right)} + 2^{x} \log{\left(2 \right)}^{3} \log{\left(x \right)} + \frac{2 \cdot 2^{x} \log{\left(2 \right)}^{2}}{x} - \frac{1}{x^{2}}\right)}{x \sin{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)} \cos^{2}{\left(x \right)}}{x \sin^{3}{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + 3 \sin{\left(x \right)}\right) \log{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{2 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(x \right)}}{x^{2} \sin{\left(x \right)}} - \frac{2 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right)}{x^{2} \sin{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)}^{2} \log{\left(x \right)} + \frac{1}{x}\right)}{x^{2} \sin{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)} \cos{\left(x \right)}}{x^{2} \sin^{2}{\left(x \right)}} - \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \cos{\left(x \right)}}{x^{2} \sin^{2}{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \log{\left(x \right)}}{x^{3} \sin{\left(x \right)}} - \frac{3 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)}{x^{3} \sin{\left(x \right)}}\right)$$