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 (-1)/x-3*x
-
Derivada de x^3*sin(cos(x))
-
Expresiones idénticas
- (x(x- uno)(x+ dos)^(dos))^(uno / tres)/((x- uno)(x+ dos))
- (x(x menos 1)(x más 2) en el grado (2)) en el grado (1 dividir por 3) dividir por ((x menos 1)(x más 2))
- (x(x menos uno)(x más dos) en el grado (dos)) en el grado (uno dividir por tres) dividir por ((x menos uno)(x más dos))
- (x(x-1)(x+2)(2))(1/3)/((x-1)(x+2))
- xx-1x+221/3/x-1x+2
- xx-1x+2^2^1/3/x-1x+2
- (x(x-1)(x+2)^(2))^(1 dividir por 3) dividir por ((x-1)(x+2))
-
Expresiones semejantes
- (x(x+1)(x+2)^(2))^(1/3)/((x-1)(x+2))
- (x(x-1)(x+2)^(2))^(1/3)/((x-1)(x-2))
- (x(x-1)(x+2)^(2))^(1/3)/((x+1)(x+2))
- (x(x-1)(x-2)^(2))^(1/3)/((x-1)(x+2))
Derivada de (x(x-1)(x+2)^(2))^(1/3)/((x-1)(x+2))
Solución
Ha introducido
[src]
____________________
3 / 2
\/ x*(x - 1)*(x + 2)
-----------------------
(x - 1)*(x + 2)
$$\frac{\sqrt[3]{x \left(x - 1\right) \left(x + 2\right)^{2}}}{\left(x - 1\right) \left(x + 2\right)}$$
((x*(x - 1))*(x + 2)^2)^(1/3)/(((x - 1)*(x + 2)))
Primera derivada
[src]
/ 2 \
3 ___________ 2/3 1 |(x + 2) *(-1 + 2*x) x*(4 + 2*x)*(x - 1)|
3 ___________ 2/3 \/ x*(x - 1) *|x + 2| *---------------*|------------------- + -------------------|
\/ x*(x - 1) *|x + 2| *(-1 - 2*x) (x - 1)*(x + 2) \ 3 3 /
----------------------------------- + ------------------------------------------------------------------------------------
2 2 2
(x - 1) *(x + 2) x*(x - 1)*(x + 2)
$$\frac{\sqrt[3]{x \left(x - 1\right)} \left|{x + 2}\right|^{\frac{2}{3}} \left(- 2 x - 1\right)}{\left(x - 1\right)^{2} \left(x + 2\right)^{2}} + \frac{\sqrt[3]{x \left(x - 1\right)} \frac{1}{\left(x - 1\right) \left(x + 2\right)} \left(\frac{x \left(x - 1\right) \left(2 x + 4\right)}{3} + \frac{\left(x + 2\right)^{2} \left(2 x - 1\right)}{3}\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right) \left(x + 2\right)^{2}}$$
Segunda derivada
[src]
/ / 2/3 \ 2/3 / 2 \ 2/3 2/3 2/3 \
| |2*sign(2 + x) |2 + x| *(-1 + 2*x)| 6*|2 + x| *\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 3*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 3*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 6*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) |
| - ((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|------------- + ---------------------| - ---------------------------------------------------------------------------------------- + ------------------------------------------------ + ------------------------------------------------ + ------------------------------------------------ |
| | 3 _________ x*(-1 + x) | 2 + x x -1 + x 2 + x 2/3 |
3 ____________ | 2/3 / 1 + 2*x 1 + 2*x / 1 1 \\ \ \/ |2 + x| / 2*|2 + x| *(1 + 2*x)*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))|
\/ x*(-1 + x) *||2 + x| *|-2 + ------- + ------- + (1 + 2*x)*|------ + -----|| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------|
\ \ -1 + x 2 + x \-1 + x 2 + x// 9*x 3*x*(-1 + x)*(2 + x) /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
(-1 + x) *(2 + x)
$$\frac{\sqrt[3]{x \left(x - 1\right)} \left(\left(\left(2 x + 1\right) \left(\frac{1}{x + 2} + \frac{1}{x - 1}\right) - 2 + \frac{2 x + 1}{x + 2} + \frac{2 x + 1}{x - 1}\right) \left|{x + 2}\right|^{\frac{2}{3}} - \frac{- \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\frac{2 \operatorname{sign}{\left(x + 2 \right)}}{\sqrt[3]{\left|{x + 2}\right|}} + \frac{\left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)}\right) + \frac{6 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x + 2} - \frac{6 \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x + 2} + \frac{3 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x - 1} + \frac{3 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x}}{9 x} - \frac{2 \left(2 x + 1\right) \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{3 x \left(x - 1\right) \left(x + 2\right)}\right)}{\left(x - 1\right)^{2} \left(x + 2\right)^{2}}$$
Tercera derivada
[src]
/ / 2/3 \ / 2/3 \ / 2/3 \ / 2/3 \ \
| |2*sign(2 + x) |2 + x| *(-1 + 2*x)| / 2 \ |2*sign(2 + x) |2 + x| *(-1 + 2*x)| |2*sign(2 + x) |2 + x| *(-1 + 2*x)| |2*sign(2 + x) |2 + x| *(-1 + 2*x)| |
| 6*|------------- + ---------------------|*\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 3*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|------------- + ---------------------| 3*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|------------- + ---------------------| 6*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|------------- + ---------------------| |
| / 2 2/3 2 2/3 2/3 2/3 \ 2/3 2/3 2/3 2/3 | 3 _________ x*(-1 + x) | | 3 _________ x*(-1 + x) | | 3 _________ x*(-1 + x) | | 3 _________ x*(-1 + x) | 2/3 / 2 \ 2/3 2/3 2/3 / 2 \ 2/3 / 2 \ 2/3 / 2 \ 2/3 2/3 2/3 / 2 \ 2/3 / / 2/3 \ 2/3 / 2 \ 2/3 2/3 2/3 \ |
| | 2*sign (2 + x) 12*DiracDelta(2 + x) 6*|2 + x| (-1 + 2*x) *|2 + x| 3*|2 + x| *(-1 + 2*x) 3*|2 + x| *(-1 + 2*x) 4*(-1 + 2*x)*sign(2 + x)| 54*|2 + x| *(3 + 4*x) 54*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 18*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 18*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) \ \/ |2 + x| / \ \/ |2 + x| / \ \/ |2 + x| / \ \/ |2 + x| / 72*|2 + x| *\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 36*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 36*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 18*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 12*\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/*sign(2 + x) 6*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*sign(2 + x) 6*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*sign(2 + x) 12*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*sign(2 + x) 36*|2 + x| *\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 36*|2 + x| *\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 3*|2 + x| *(-1 + 2*x)*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 3*|2 + x| *(-1 + 2*x)*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 6*|2 + x| *(-1 + 2*x)*\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 6*|2 + x| *(-1 + 2*x)*((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) | |2*sign(2 + x) |2 + x| *(-1 + 2*x)| 6*|2 + x| *\(2 + x) + x*(-1 + x) + x*(2 + x) + (-1 + x)*(2 + x) + (-1 + 2*x)*(2 + x)/ 3*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 3*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x)) 6*|2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))| |
| / / 1 1 \ / 1 1 \ \ - ((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|- -------------- + -------------------- + ------------ + ---------------------- - ----------------------- - ----------------------- + ------------------------| - ----------------------- - ------------------------------------------------- - ------------------------------------------------- - ------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- - ------------------------------------------------- - ------------------------------------------------- - ------------------------------------------------- - ------------------------------------------------------------------------------------------ + ------------------------------------------------- + ------------------------------------------------- + -------------------------------------------------- + ----------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- - --------------------------------------------------------------------------------------------------- + ----------------------------------------------------------- (1 + 2*x)*|- ((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|------------- + ---------------------| - ---------------------------------------------------------------------------------------- + ------------------------------------------------ + ------------------------------------------------ + ------------------------------------------------| 2/3 / 1 + 2*x 1 + 2*x / 1 1 \\|
| | (1 + 2*x)*|------ + -----| (1 + 2*x)*|------ + -----| | | 4/3 3 _________ x*(-1 + x) 2 2 2 2 3 _________ | 2 + x 2 2 2 2 + x x -1 + x 2 + x 2 x*(2 + x) (-1 + x)*(2 + x) x*(-1 + x) 3 _________ 3 _________ 3 _________ 3 _________ x*(2 + x) (-1 + x)*(2 + x) 2 2 x*(-1 + x)*(2 + x) x*(-1 + x)*(2 + x) | | 3 _________ x*(-1 + x) | 2 + x x -1 + x 2 + x | |2 + x| *((-1 + 2*x)*(2 + x) + 2*x*(-1 + x))*|-2 + ------- + ------- + (1 + 2*x)*|------ + -----|||
3 ____________ | 2/3 | 8 8 / 1 1 1 \ 3*(1 + 2*x) 3*(1 + 2*x) \-1 + x 2 + x/ \-1 + x 2 + x/ 4*(1 + 2*x) | \ |2 + x| \/ |2 + x| x *(-1 + x) x*(-1 + x) x *(-1 + x) x*(-1 + x)*\/ |2 + x| / (2 + x) x (-1 + x) (2 + x) (2 + x)*\/ |2 + x| x*\/ |2 + x| (-1 + x)*\/ |2 + x| (2 + x)*\/ |2 + x| x*(-1 + x) x *(-1 + x) \ \ \/ |2 + x| / / \ -1 + x 2 + x \-1 + x 2 + x//|
\/ x*(-1 + x) *|- |2 + x| *|- ------ - ----- + 2*(1 + 2*x)*|--------- + -------- + ----------------| + ----------- + ----------- + -------------------------- + -------------------------- + ----------------| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------|
| | -1 + x 2 + x | 2 2 (-1 + x)*(2 + x)| 2 2 -1 + x 2 + x (-1 + x)*(2 + x)| 27*x 3*x*(-1 + x)*(2 + x) x*(-1 + x)*(2 + x) |
\ \ \(-1 + x) (2 + x) / (-1 + x) (2 + x) / /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
(-1 + x) *(2 + x)
$$\frac{\sqrt[3]{x \left(x - 1\right)} \left(- \left(2 \left(2 x + 1\right) \left(\frac{1}{\left(x + 2\right)^{2}} + \frac{1}{\left(x - 1\right) \left(x + 2\right)} + \frac{1}{\left(x - 1\right)^{2}}\right) + \frac{\left(2 x + 1\right) \left(\frac{1}{x + 2} + \frac{1}{x - 1}\right)}{x + 2} - \frac{8}{x + 2} + \frac{3 \left(2 x + 1\right)}{\left(x + 2\right)^{2}} + \frac{\left(2 x + 1\right) \left(\frac{1}{x + 2} + \frac{1}{x - 1}\right)}{x - 1} - \frac{8}{x - 1} + \frac{4 \left(2 x + 1\right)}{\left(x - 1\right) \left(x + 2\right)} + \frac{3 \left(2 x + 1\right)}{\left(x - 1\right)^{2}}\right) \left|{x + 2}\right|^{\frac{2}{3}} - \frac{- \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\frac{12 \delta\left(x + 2\right)}{\sqrt[3]{\left|{x + 2}\right|}} - \frac{2 \operatorname{sign}^{2}{\left(x + 2 \right)}}{\left|{x + 2}\right|^{\frac{4}{3}}} + \frac{4 \left(2 x - 1\right) \operatorname{sign}{\left(x + 2 \right)}}{x \left(x - 1\right) \sqrt[3]{\left|{x + 2}\right|}} + \frac{6 \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)} - \frac{3 \left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)^{2}} - \frac{3 \left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x^{2} \left(x - 1\right)} + \frac{\left(2 x - 1\right)^{2} \left|{x + 2}\right|^{\frac{2}{3}}}{x^{2} \left(x - 1\right)^{2}}\right) - \frac{54 \left(4 x + 3\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x + 2} + \frac{6 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\frac{2 \operatorname{sign}{\left(x + 2 \right)}}{\sqrt[3]{\left|{x + 2}\right|}} + \frac{\left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)}\right)}{x + 2} + \frac{12 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \operatorname{sign}{\left(x + 2 \right)}}{\left(x + 2\right) \sqrt[3]{\left|{x + 2}\right|}} - \frac{6 \left(\frac{2 \operatorname{sign}{\left(x + 2 \right)}}{\sqrt[3]{\left|{x + 2}\right|}} + \frac{\left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)}\right) \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right)}{x + 2} - \frac{12 \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \operatorname{sign}{\left(x + 2 \right)}}{\left(x + 2\right) \sqrt[3]{\left|{x + 2}\right|}} - \frac{54 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{\left(x + 2\right)^{2}} + \frac{72 \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{\left(x + 2\right)^{2}} + \frac{3 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\frac{2 \operatorname{sign}{\left(x + 2 \right)}}{\sqrt[3]{\left|{x + 2}\right|}} + \frac{\left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)}\right)}{x - 1} + \frac{6 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \operatorname{sign}{\left(x + 2 \right)}}{\left(x - 1\right) \sqrt[3]{\left|{x + 2}\right|}} - \frac{36 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{\left(x - 1\right) \left(x + 2\right)} + \frac{36 \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{\left(x - 1\right) \left(x + 2\right)} - \frac{18 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{\left(x - 1\right)^{2}} + \frac{3 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\frac{2 \operatorname{sign}{\left(x + 2 \right)}}{\sqrt[3]{\left|{x + 2}\right|}} + \frac{\left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)}\right)}{x} + \frac{6 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \operatorname{sign}{\left(x + 2 \right)}}{x \sqrt[3]{\left|{x + 2}\right|}} - \frac{36 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x + 2\right)} + \frac{36 \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x + 2\right)} - \frac{18 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)} + \frac{6 \left(2 x - 1\right) \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right) \left(x + 2\right)} - \frac{6 \left(2 x - 1\right) \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right) \left(x + 2\right)} + \frac{3 \left(2 x - 1\right) \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)^{2}} - \frac{18 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x^{2}} + \frac{3 \left(2 x - 1\right) \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x^{2} \left(x - 1\right)}}{27 x} + \frac{\left(2 x + 1\right) \left(- \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\frac{2 \operatorname{sign}{\left(x + 2 \right)}}{\sqrt[3]{\left|{x + 2}\right|}} + \frac{\left(2 x - 1\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right)}\right) + \frac{6 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x + 2} - \frac{6 \left(x \left(x - 1\right) + x \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right) + \left(x + 2\right)^{2} + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x + 2} + \frac{3 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x - 1} + \frac{3 \left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x}\right)}{3 x \left(x - 1\right) \left(x + 2\right)} + \frac{\left(2 x \left(x - 1\right) + \left(x + 2\right) \left(2 x - 1\right)\right) \left(\left(2 x + 1\right) \left(\frac{1}{x + 2} + \frac{1}{x - 1}\right) - 2 + \frac{2 x + 1}{x + 2} + \frac{2 x + 1}{x - 1}\right) \left|{x + 2}\right|^{\frac{2}{3}}}{x \left(x - 1\right) \left(x + 2\right)}\right)}{\left(x - 1\right)^{2} \left(x + 2\right)^{2}}$$
Gráfico