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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:
-
Derivada de x^-(4/5)
-
Derivada de x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Expresiones idénticas
- ((xexp^3x)*arcctgx^ dos)/(dos -ln^ cinco (x))
- ((x exponente de al cubo x) multiplicar por arcctgx al cuadrado ) dividir por (2 menos ln en el grado 5(x))
- ((x exponente de al cubo x) multiplicar por arcctgx en el grado dos) dividir por (dos menos ln en el grado cinco (x))
- ((xexp3x)*arcctgx2)/(2-ln5(x))
- xexp3x*arcctgx2/2-ln5x
- ((xexp³x)*arcctgx²)/(2-ln⁵(x))
- ((xexp en el grado 3x)*arcctgx en el grado 2)/(2-ln en el grado 5(x))
- ((xexp^3x)arcctgx^2)/(2-ln^5(x))
- ((xexp3x)arcctgx2)/(2-ln5(x))
- xexp3xarcctgx2/2-ln5x
- xexp^3xarcctgx^2/2-ln^5x
- ((xexp^3x)*arcctgx^2) dividir por (2-ln^5(x))
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Expresiones semejantes
- ((xexp^3x)*arcctgx^2)/(2+ln^5(x))
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Expresiones con funciones
- xexp
- xexp^(-x)
- xexp(-x/2)
- xexp(-ax^2)
- xexp(4x)
- xexp^(1/x)
- ln
- ln(x/5)
- ln(e^(2*x)+1)
- ln(x+sqrt(a^2+x^2))
- ln(x+8)
- ln(x+1)²
Derivada de ((xexp^3x)*arcctgx^2)/(2-ln^5(x))
Solución
Ha introducido
[src]
3 2
x*E *x*acot (x)
---------------
5
2 - log (x)
$$\frac{x e^{3} x \operatorname{acot}^{2}{\left(x \right)}}{2 - \log{\left(x \right)}^{5}}$$
(((x*E^3)*x)*acot(x)^2)/(2 - log(x)^5)
Primera derivada
[src]
2 3
2 / 3 3\ 2*x *acot(x)*e
acot (x)*\x*E + x*e / - ---------------
2 2 4 3
1 + x 5*x*acot (x)*log (x)*e
---------------------------------------- + -----------------------
5 2
2 - log (x) / 5 \
\2 - log (x)/
$$\frac{5 x e^{3} \log{\left(x \right)}^{4} \operatorname{acot}^{2}{\left(x \right)}}{\left(2 - \log{\left(x \right)}^{5}\right)^{2}} + \frac{- \frac{2 x^{2} e^{3} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \left(e^{3} x + x e^{3}\right) \operatorname{acot}^{2}{\left(x \right)}}{2 - \log{\left(x \right)}^{5}}$$
Segunda derivada
[src]
/ / 5 \ \
| 2 3 | 10*log (x) | 4 / x \ |
| 5*acot (x)*log (x)*|-4 + ------------ + log(x)| 20*log (x)*|-acot(x) + ------|*acot(x)|
| 2 | 5 | | 2| |
| 2 8*x*acot(x) 2*x *(1 + 2*x*acot(x)) \ -2 + log (x) / \ 1 + x / | 3
-|2*acot (x) - ----------- + ---------------------- + ----------------------------------------------- + --------------------------------------|*e
| 2 2 5 5 |
| 1 + x / 2\ -2 + log (x) -2 + log (x) |
\ \1 + x / /
---------------------------------------------------------------------------------------------------------------------------------------------------
5
-2 + log (x)
$$- \frac{\left(\frac{2 x^{2} \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}} - \frac{8 x \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{20 \left(\frac{x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right) \log{\left(x \right)}^{4} \operatorname{acot}{\left(x \right)}}{\log{\left(x \right)}^{5} - 2} + 2 \operatorname{acot}^{2}{\left(x \right)} + \frac{5 \left(\log{\left(x \right)} - 4 + \frac{10 \log{\left(x \right)}^{5}}{\log{\left(x \right)}^{5} - 2}\right) \log{\left(x \right)}^{3} \operatorname{acot}^{2}{\left(x \right)}}{\log{\left(x \right)}^{5} - 2}\right) e^{3}}{\log{\left(x \right)}^{5} - 2}$$
Tercera derivada
[src]
/ / / 2 \ \ \
| | 2 | 3*x 4*x *acot(x)| | |
| | x *|-acot(x) + ------ + ------------| | / 2 \ / 5 6 10 \ |
| | | 2 2 | | 4 | 2 x *(1 + 2*x*acot(x)) 4*x*acot(x)| 2 2 | 2 60*log (x) 15*log (x) 75*log (x) | / 5 \ |
| | \ 1 + x 1 + x / 3*x*(1 + 2*x*acot(x))| 15*log (x)*|acot (x) + -------------------- - -----------| 5*acot (x)*log (x)*|6 + log (x) - 6*log(x) - ------------ + ------------ + ---------------| 3 / x \ | 10*log (x) | |
|2*|3*acot(x) + ------------------------------------- - ---------------------| | 2 2 | | 5 5 2| 15*log (x)*|-acot(x) + ------|*|-4 + ------------ + log(x)|*acot(x)|
| | 2 2 | | / 2\ 1 + x | | -2 + log (x) -2 + log (x) / 5 \ | | 2| | 5 | |
| \ 1 + x 1 + x / \ \1 + x / / \ \-2 + log (x)/ / \ 1 + x / \ -2 + log (x) / | 3
2*|----------------------------------------------------------------------------- + ---------------------------------------------------------- + ------------------------------------------------------------------------------------------- + -------------------------------------------------------------------|*e
| 2 / 5 \ / 5 \ / 5 \ |
\ 1 + x x*\-2 + log (x)/ x*\-2 + log (x)/ x*\-2 + log (x)/ /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5
-2 + log (x)
$$\frac{2 \left(\frac{2 \left(\frac{x^{2} \left(\frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{3 x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right)}{x^{2} + 1} - \frac{3 x \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{x^{2} + 1} + 3 \operatorname{acot}{\left(x \right)}\right)}{x^{2} + 1} + \frac{15 \left(\frac{x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right) \left(\log{\left(x \right)} - 4 + \frac{10 \log{\left(x \right)}^{5}}{\log{\left(x \right)}^{5} - 2}\right) \log{\left(x \right)}^{3} \operatorname{acot}{\left(x \right)}}{x \left(\log{\left(x \right)}^{5} - 2\right)} + \frac{15 \left(\frac{x^{2} \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}} - \frac{4 x \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \operatorname{acot}^{2}{\left(x \right)}\right) \log{\left(x \right)}^{4}}{x \left(\log{\left(x \right)}^{5} - 2\right)} + \frac{5 \left(\log{\left(x \right)}^{2} - 6 \log{\left(x \right)} + 6 + \frac{15 \log{\left(x \right)}^{6}}{\log{\left(x \right)}^{5} - 2} - \frac{60 \log{\left(x \right)}^{5}}{\log{\left(x \right)}^{5} - 2} + \frac{75 \log{\left(x \right)}^{10}}{\left(\log{\left(x \right)}^{5} - 2\right)^{2}}\right) \log{\left(x \right)}^{2} \operatorname{acot}^{2}{\left(x \right)}}{x \left(\log{\left(x \right)}^{5} - 2\right)}\right) e^{3}}{\log{\left(x \right)}^{5} - 2}$$
Gráfico