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 -2x
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Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)
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Derivada de 7*x
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Derivada de (sin(x))^cos(x)
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Expresiones idénticas
- (x*tgx)^(exp^x^ dos)
- (x multiplicar por tgx) en el grado ( exponente de en el grado x al cuadrado )
- (x multiplicar por tgx) en el grado ( exponente de en el grado x en el grado dos)
- (x*tgx)(expx2)
- x*tgxexpx2
- (x*tgx)^(exp^x²)
- (x*tgx) en el grado (exp en el grado x en el grado 2)
- (xtgx)^(exp^x^2)
- (xtgx)(expx2)
- xtgxexpx2
- xtgx^exp^x^2
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Expresiones con funciones
- tgx
- tgx/x
- tgx-9x
- tgx-ctgx
- Exponente exp
- exp(8*x)
- exp(x^1/2)
- exp(2*x)
- exp(y)
Derivada de (x*tgx)^(exp^x^2)
Solución
Ha introducido
[src]
/ / 2\\
| \x /|
\E /
(x*tan(x))
$$\left(x \tan{\left(x \right)}\right)^{e^{x^{2}}}$$
(x*tan(x))^(E^(x^2))
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]
/ / 2\\ / / 2\\
| \x /| | / 2\ / / 2 \ \ \x /|
\E / | \x / \x*\1 + tan (x)/ + tan(x)/*e |
(x*tan(x)) *|2*x*e *log(x*tan(x)) + --------------------------------|
\ x*tan(x) /
$$\left(x \tan{\left(x \right)}\right)^{e^{x^{2}}} \left(2 x e^{x^{2}} \log{\left(x \tan{\left(x \right)} \right)} + \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) e^{x^{2}}}{x \tan{\left(x \right)}}\right)$$
Segunda derivada
[src]
/ / 2\\ / 2 \
| \x /| | / / 2 \ \ / 2\ / / 2 \ \ / 2 \ / 2 / 2 \ \ / 2 \ / / 2 \ \| / 2\
\e / | | x*\1 + tan (x)/ + tan(x)| \x / 2 4*\x*\1 + tan (x)/ + tan(x)/ x*\1 + tan (x)/ + tan(x) 2*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ \1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/| \x /
(x*tan(x)) *|2*log(x*tan(x)) + |2*x*log(x*tan(x)) + ------------------------| *e + 4*x *log(x*tan(x)) + ---------------------------- - ------------------------ + ---------------------------------------- - ----------------------------------------|*e
| \ x*tan(x) / tan(x) 2 x*tan(x) 2 |
\ x *tan(x) x*tan (x) /
$$\left(x \tan{\left(x \right)}\right)^{e^{x^{2}}} \left(4 x^{2} \log{\left(x \tan{\left(x \right)} \right)} + \frac{4 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\tan{\left(x \right)}} + \left(2 x \log{\left(x \tan{\left(x \right)} \right)} + \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x \tan{\left(x \right)}}\right)^{2} e^{x^{2}} + 2 \log{\left(x \tan{\left(x \right)} \right)} - \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan^{2}{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} - \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x^{2} \tan{\left(x \right)}}\right) e^{x^{2}}$$
Tercera derivada
[src]
/ / 2\\ / 3 2 \
| \x /| |/ / 2 \ \ 2 / 2 / 2 \ \ / 2 \ / / 2 \ \ / 2 / 2 \ \ / / 2 \ \ / / 2 \ \ / / / 2 \ \ / 2 \ / 2 / 2 \ \ / 2 \ / / 2 \ \\ / 2\ / / 2 \ \ / 2 \ / 2 / 2 \ \ / 2 \ / / 2 \ \ / 2 \ / / 2 \ \ / 2 \ / / 2 \ 2 \ / 2 \ / / 2 \ \| / 2\
\e / || x*\1 + tan (x)/ + tan(x)| 2*x 3 12*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ 6*\1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/ 4*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ 2*\x*\1 + tan (x)/ + tan(x)/ | x*\1 + tan (x)/ + tan(x)| | 2 4*\x*\1 + tan (x)/ + tan(x)/ x*\1 + tan (x)/ + tan(x) 2*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ \1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/| \x / 12*x*\x*\1 + tan (x)/ + tan(x)/ 4*\1 + tan (x)/*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ 2*\1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/ 2*\1 + tan (x)/ *\x*\1 + tan (x)/ + tan(x)/ 2*\1 + tan (x)/*\3*tan(x) + x*\1 + tan (x)/ + 2*x*tan (x)/ 2*\1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/| \x /
(x*tan(x)) *||2*x*log(x*tan(x)) + ------------------------| *e + 8*x *log(x*tan(x)) + 12*x*log(x*tan(x)) + ----------------------------------------- - ------------------------------------------ - ---------------------------------------- + ---------------------------- + 3*|2*x*log(x*tan(x)) + ------------------------|*|2*log(x*tan(x)) + 4*x *log(x*tan(x)) + ---------------------------- - ------------------------ + ---------------------------------------- - ----------------------------------------|*e + ------------------------------- - ------------------------------------------------------ - ------------------------------------------ + ------------------------------------------- + ---------------------------------------------------------- + ------------------------------------------|*e
|\ x*tan(x) / tan(x) 2 2 3 \ x*tan(x) / | tan(x) 2 x*tan(x) 2 | tan(x) 2 x*tan(x) 3 x*tan(x) 2 2 |
\ tan (x) x *tan(x) x *tan(x) \ x *tan(x) x*tan (x) / x*tan (x) x*tan (x) x *tan (x) /
$$\left(x \tan{\left(x \right)}\right)^{e^{x^{2}}} \left(8 x^{3} \log{\left(x \tan{\left(x \right)} \right)} + \frac{12 x \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\tan{\left(x \right)}} + 12 x \log{\left(x \tan{\left(x \right)} \right)} - \frac{6 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)}} + \left(2 x \log{\left(x \tan{\left(x \right)} \right)} + \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x \tan{\left(x \right)}}\right)^{3} e^{2 x^{2}} + 3 \left(2 x \log{\left(x \tan{\left(x \right)} \right)} + \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x \tan{\left(x \right)}}\right) \left(4 x^{2} \log{\left(x \tan{\left(x \right)} \right)} + \frac{4 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\tan{\left(x \right)}} + 2 \log{\left(x \tan{\left(x \right)} \right)} - \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan^{2}{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} - \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x^{2} \tan{\left(x \right)}}\right) e^{x^{2}} + \frac{12 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{x \tan^{3}{\left(x \right)}} - \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 3 \tan{\left(x \right)}\right)}{x \tan{\left(x \right)}} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x \tan^{2}{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2} \tan^{2}{\left(x \right)}} - \frac{4 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x^{2} \tan{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{x^{3} \tan{\left(x \right)}}\right) e^{x^{2}}$$