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(3x-7)^5
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Derivada de x⁴+8x²+8
- Derivada de x=3acost-acos3t,y=3asint-asin3tfinddy÷dx
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Derivada de (x^3-6)*(2+x^6)
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Expresiones idénticas
- x^x^(tres *sin(x)+x*cos(x))
- x en el grado x en el grado (3 multiplicar por seno de (x) más x multiplicar por coseno de (x))
- x en el grado x en el grado (tres multiplicar por seno de (x) más x multiplicar por coseno de (x))
- xx(3*sin(x)+x*cos(x))
- xx3*sinx+x*cosx
- x^x^(3sin(x)+xcos(x))
- xx(3sin(x)+xcos(x))
- xx3sinx+xcosx
- x^x^3sinx+xcosx
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Expresiones semejantes
- x^x^(3*sin(x)-x*cos(x))
- x^x^(3*sinx+x*cosx)
Derivada de x^x^(3*sin(x)+x*cos(x))
Solución
Ha introducido
[src]
/ 3*sin(x) + x*cos(x)\ \x / x
$$x^{x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}}$$
x^(x^(3*sin(x) + x*cos(x)))
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ 3*sin(x) + x*cos(x)\ / 3*sin(x) + x*cos(x) \
\x / |x 3*sin(x) + x*cos(x) /3*sin(x) + x*cos(x) \ |
x *|-------------------- + x *|------------------- + (4*cos(x) - x*sin(x))*log(x)|*log(x)|
\ x \ x / /
$$x^{x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}} \left(x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}} \left(\left(- x \sin{\left(x \right)} + 4 \cos{\left(x \right)}\right) \log{\left(x \right)} + \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right) \log{\left(x \right)} + \frac{x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}}{x}\right)$$
Segunda derivada
[src]
/ / / 3*sin(x) + x*cos(x)\\\
/ 3*sin(x) + x*cos(x)\ | 2 | 2 2*|(-4*cos(x) + x*sin(x))*log(x) - -------------------|||
\x / | 6*sin(x) + 2*x*cos(x) / 1 / 3*sin(x) + x*cos(x)\ \ 3*sin(x) + x*cos(x) |1 /3*sin(x) + x*cos(x) 2*(-4*cos(x) + x*sin(x))\ / 3*sin(x) + x*cos(x)\ \ x /||
x *|x *|- - + |(-4*cos(x) + x*sin(x))*log(x) - -------------------|*log(x)| - x *|-- + |------------------- + (5*sin(x) + x*cos(x))*log(x) + ------------------------|*log(x) - |(-4*cos(x) + x*sin(x))*log(x) - -------------------| *log(x) + -------------------------------------------------------||
| \ x \ x / / | 2 | 2 x | \ x / x ||
\ \x \ x / //
$$x^{x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}} \left(- x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}} \left(- \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)^{2} \log{\left(x \right)} + \left(\left(x \cos{\left(x \right)} + 5 \sin{\left(x \right)}\right) \log{\left(x \right)} + \frac{2 \left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right)}{x} + \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{2 \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)}{x} + \frac{1}{x^{2}}\right) + x^{2 x \cos{\left(x \right)} + 6 \sin{\left(x \right)}} \left(\left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right) \log{\left(x \right)} - \frac{1}{x}\right)^{2}\right)$$
Tercera derivada
[src]
/ / /3*sin(x) + x*cos(x) 2*(-4*cos(x) + x*sin(x))\ 2 \ \
| | 3*|------------------- + (5*sin(x) + x*cos(x))*log(x) + ------------------------| / 3*sin(x) + x*cos(x)\ / 3*sin(x) + x*cos(x)\ | / / 3*sin(x) + x*cos(x)\\|
/ 3*sin(x) + x*cos(x)\ | | 3 | 2 x | 3*|(-4*cos(x) + x*sin(x))*log(x) - -------------------| 3*|(-4*cos(x) + x*sin(x))*log(x) - -------------------| | 3 | 2 2*|(-4*cos(x) + x*sin(x))*log(x) - -------------------|||
\x / | 3*sin(x) + x*cos(x) |2 / 3*(5*sin(x) + x*cos(x)) 2*(3*sin(x) + x*cos(x)) 3*(-4*cos(x) + x*sin(x))\ / 3*sin(x) + x*cos(x)\ \ x / \ x / \ x / / 3*sin(x) + x*cos(x)\ /3*sin(x) + x*cos(x) 2*(-4*cos(x) + x*sin(x))\ | 9*sin(x) + 3*x*cos(x) / 1 / 3*sin(x) + x*cos(x)\ \ 6*sin(x) + 2*x*cos(x) / 1 / 3*sin(x) + x*cos(x)\ \ |1 /3*sin(x) + x*cos(x) 2*(-4*cos(x) + x*sin(x))\ / 3*sin(x) + x*cos(x)\ \ x /||
x *|x *|-- + |(-6*cos(x) + x*sin(x))*log(x) - ----------------------- + ----------------------- + ------------------------|*log(x) - |(-4*cos(x) + x*sin(x))*log(x) - -------------------| *log(x) - --------------------------------------------------------------------------------- + -------------------------------------------------------- + ------------------------------------------------------- + 3*|(-4*cos(x) + x*sin(x))*log(x) - -------------------|*|------------------- + (5*sin(x) + x*cos(x))*log(x) + ------------------------|*log(x)| - x *|- - + |(-4*cos(x) + x*sin(x))*log(x) - -------------------|*log(x)| + 3*x *|- - + |(-4*cos(x) + x*sin(x))*log(x) - -------------------|*log(x)|*|-- + |------------------- + (5*sin(x) + x*cos(x))*log(x) + ------------------------|*log(x) - |(-4*cos(x) + x*sin(x))*log(x) - -------------------| *log(x) + -------------------------------------------------------||
| | 3 | x 3 2 | \ x / x x 2 \ x / | 2 x | | \ x \ x / / \ x \ x / / | 2 | 2 x | \ x / x ||
\ \x \ x x / x \ x / / \x \ x / //
$$x^{x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}} \left(x^{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}} \left(- \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)^{3} \log{\left(x \right)} + 3 \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right) \left(\left(x \cos{\left(x \right)} + 5 \sin{\left(x \right)}\right) \log{\left(x \right)} + \frac{2 \left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right)}{x} + \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \left(\left(x \sin{\left(x \right)} - 6 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{3 \left(x \cos{\left(x \right)} + 5 \sin{\left(x \right)}\right)}{x} + \frac{3 \left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right)}{x^{2}} + \frac{2 \left(x \cos{\left(x \right)} + 3 \sin{\left(x \right)}\right)}{x^{3}}\right) \log{\left(x \right)} + \frac{3 \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)^{2}}{x} - \frac{3 \left(\left(x \cos{\left(x \right)} + 5 \sin{\left(x \right)}\right) \log{\left(x \right)} + \frac{2 \left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right)}{x} + \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x^{2}}\right)}{x} + \frac{3 \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)}{x^{2}} + \frac{2}{x^{3}}\right) + 3 x^{2 x \cos{\left(x \right)} + 6 \sin{\left(x \right)}} \left(\left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right) \log{\left(x \right)} - \frac{1}{x}\right) \left(- \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)^{2} \log{\left(x \right)} + \left(\left(x \cos{\left(x \right)} + 5 \sin{\left(x \right)}\right) \log{\left(x \right)} + \frac{2 \left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right)}{x} + \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} + \frac{2 \left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right)}{x} + \frac{1}{x^{2}}\right) - x^{3 x \cos{\left(x \right)} + 9 \sin{\left(x \right)}} \left(\left(\left(x \sin{\left(x \right)} - 4 \cos{\left(x \right)}\right) \log{\left(x \right)} - \frac{x \cos{\left(x \right)} + 3 \sin{\left(x \right)}}{x}\right) \log{\left(x \right)} - \frac{1}{x}\right)^{3}\right)$$