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 1/(x+3)
-
Derivada de 4*y
-
Derivada de (2x-7)^8
-
Derivada de (-1)/x-3*x
-
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-(ln)5(x))
- xexp3x*arcctgx2/2-ln5x
- ((xexp³x)*arcctgx²)/(2-(ln)⁵(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-(ln)5(x))
- xexp3xarcctgx2/2-ln5x
- xexp^3xarcctgx^2/2-ln^5x
- ((xexp^3x)*arcctgx^2) dividir por (2-(ln)^5(x))
-
Expresiones semejantes
- ((xexp^3x)*arcctgx^2)/(2+(ln)^5(x))
-
Expresiones con funciones
- xexp
- xexp(2)÷2
- ln
- ln(x+10)^11
- ln((x^2)-1)
- ln3x^5
- ln^3(x^2+1)
- ln(1+|x|)
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)*x
$$\frac{x e^{3} x \operatorname{acot}^{2}{\left(x \right)}}{- x \log{\left(x \right)}^{5} + 2}$$
(((x*E^3)*x)*acot(x)^2)/(2 - log(x)^5*x)
Primera derivada
[src]
2 3
2 / 3 3\ 2*x *acot(x)*e
acot (x)*\x*E + x*e / - ---------------
2 2 2 / 5 4 \ 3
1 + x x *acot (x)*\log (x) + 5*log (x)/*e
---------------------------------------- + ------------------------------------
5 2
2 - log (x)*x / 5 \
\2 - log (x)*x/
$$\frac{x^{2} \left(\log{\left(x \right)}^{5} + 5 \log{\left(x \right)}^{4}\right) e^{3} \operatorname{acot}^{2}{\left(x \right)}}{\left(- x \log{\left(x \right)}^{5} + 2\right)^{2}} + \frac{- \frac{2 x^{2} e^{3} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \left(e^{3} x + x e^{3}\right) \operatorname{acot}^{2}{\left(x \right)}}{- x \log{\left(x \right)}^{5} + 2}$$
Segunda derivada
[src]
/ / 2 5 \ \
| 2 2 3 | 5*(4 + log(x)) 2*(5 + log(x)) *log (x)| 4 / x \ |
| x *acot (x)*log (x)*|- -------------- + -----------------------| 4*x*log (x)*(5 + log(x))*|-acot(x) + ------|*acot(x)|
| 2 | x 5 | | 2| |
| 2 8*x*acot(x) 2*x *(1 + 2*x*acot(x)) \ -2 + x*log (x) / \ 1 + x / | 3
-|2*acot (x) - ----------- + ---------------------- + ---------------------------------------------------------------- + ----------------------------------------------------|*e
| 2 2 5 5 |
| 1 + x / 2\ -2 + x*log (x) -2 + x*log (x) |
\ \1 + x / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5
-2 + x*log (x)
$$- \frac{\left(\frac{x^{2} \left(\frac{2 \left(\log{\left(x \right)} + 5\right)^{2} \log{\left(x \right)}^{5}}{x \log{\left(x \right)}^{5} - 2} - \frac{5 \left(\log{\left(x \right)} + 4\right)}{x}\right) \log{\left(x \right)}^{3} \operatorname{acot}^{2}{\left(x \right)}}{x \log{\left(x \right)}^{5} - 2} + \frac{2 x^{2} \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{4 x \left(\frac{x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right) \left(\log{\left(x \right)} + 5\right) \log{\left(x \right)}^{4} \operatorname{acot}{\left(x \right)}}{x \log{\left(x \right)}^{5} - 2} - \frac{8 x \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + 2 \operatorname{acot}^{2}{\left(x \right)}\right) e^{3}}{x \log{\left(x \right)}^{5} - 2}$$
Tercera derivada
[src]
/ / / 2 \ \ \
| | 2 | 3*x 4*x *acot(x)| | |
| | x *|-acot(x) + ------ + ------------| | / 2 \ / / 2 \ 3 10 5 \ |
| | | 2 2 | | 4 | 2 x *(1 + 2*x*acot(x)) 4*x*acot(x)| 2 2 2 |5*\-12 + log (x)/ 6*(5 + log(x)) *log (x) 30*log (x)*(4 + log(x))*(5 + log(x))| / 2 5 \ |
| | \ 1 + x 1 + x / 3*x*(1 + 2*x*acot(x))| 6*log (x)*(5 + log(x))*|acot (x) + -------------------- - -----------| x *acot (x)*log (x)*|----------------- - ------------------------ + ------------------------------------| 3 / x \ | 5*(4 + log(x)) 2*(5 + log(x)) *log (x)| |
|4*|3*acot(x) + ------------------------------------- - ---------------------| | 2 2 | | 2 2 / 5 \ | 6*x*log (x)*|-acot(x) + ------|*|- -------------- + -----------------------|*acot(x)|
| | 2 2 | | / 2\ 1 + x | | x / 5 \ x*\-2 + x*log (x)/ | | 2| | x 5 | |
| \ 1 + x 1 + x / \ \1 + x / / \ \-2 + x*log (x)/ / \ 1 + x / \ -2 + x*log (x) / | 3
|----------------------------------------------------------------------------- + ---------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------|*e
| 2 5 5 5 |
\ 1 + x -2 + x*log (x) -2 + x*log (x) -2 + x*log (x) /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5
-2 + x*log (x)
$$\frac{\left(- \frac{x^{2} \left(- \frac{6 \left(\log{\left(x \right)} + 5\right)^{3} \log{\left(x \right)}^{10}}{\left(x \log{\left(x \right)}^{5} - 2\right)^{2}} + \frac{30 \left(\log{\left(x \right)} + 4\right) \left(\log{\left(x \right)} + 5\right) \log{\left(x \right)}^{5}}{x \left(x \log{\left(x \right)}^{5} - 2\right)} + \frac{5 \left(\log{\left(x \right)}^{2} - 12\right)}{x^{2}}\right) \log{\left(x \right)}^{2} \operatorname{acot}^{2}{\left(x \right)}}{x \log{\left(x \right)}^{5} - 2} + \frac{6 x \left(\frac{x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right) \left(\frac{2 \left(\log{\left(x \right)} + 5\right)^{2} \log{\left(x \right)}^{5}}{x \log{\left(x \right)}^{5} - 2} - \frac{5 \left(\log{\left(x \right)} + 4\right)}{x}\right) \log{\left(x \right)}^{3} \operatorname{acot}{\left(x \right)}}{x \log{\left(x \right)}^{5} - 2} + \frac{6 \left(\log{\left(x \right)} + 5\right) \left(\frac{x^{2} \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}} - \frac{4 x \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \operatorname{acot}^{2}{\left(x \right)}\right) \log{\left(x \right)}^{4}}{x \log{\left(x \right)}^{5} - 2} + \frac{4 \left(\frac{x^{2} \left(\frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{3 x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right)}{x^{2} + 1} - \frac{3 x \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{x^{2} + 1} + 3 \operatorname{acot}{\left(x \right)}\right)}{x^{2} + 1}\right) e^{3}}{x \log{\left(x \right)}^{5} - 2}$$
Gráfico