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- Derivada de una función implícitamente dada
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- Ecuaciones diferenciales paso a paso
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¿Cómo usar?
- Derivada de:
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Derivada de (π-2x)³
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Derivada de y=e×
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Derivada de y*log(5*y-1)
- Derivada de y=ln((sqrt(x))+(sqrt(x+a)))
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Expresiones idénticas
- (x*(x- cuatro))/((x+ dos)^(dos / tres)*abs((x- cuatro)^(cuatro / tres)))
- (x multiplicar por (x menos 4)) dividir por ((x más 2) en el grado (2 dividir por 3) multiplicar por abs((x menos 4) en el grado (4 dividir por 3)))
- (x multiplicar por (x menos cuatro)) dividir por ((x más dos) en el grado (dos dividir por tres) multiplicar por abs((x menos cuatro) en el grado (cuatro dividir por tres)))
- (x*(x-4))/((x+2)(2/3)*abs((x-4)(4/3)))
- x*x-4/x+22/3*absx-44/3
- (x(x-4))/((x+2)^(2/3)abs((x-4)^(4/3)))
- (x(x-4))/((x+2)(2/3)abs((x-4)(4/3)))
- xx-4/x+22/3absx-44/3
- xx-4/x+2^2/3absx-4^4/3
- (x*(x-4)) dividir por ((x+2)^(2 dividir por 3)*abs((x-4)^(4 dividir por 3)))
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Expresiones semejantes
- (x*(x+4))/((x+2)^(2/3)*abs((x-4)^(4/3)))
- (x*(x-4))/((x-2)^(2/3)*abs((x-4)^(4/3)))
- (x*(x-4))/((x+2)^(2/3)*abs((x+4)^(4/3)))
Derivada de (x*(x-4))/((x+2)^(2/3)*abs((x-4)^(4/3)))
Solución
Ha introducido
[src]
x*(x - 4)
-----------------------
2/3 | 4/3|
(x + 2) *|(x - 4) |
$$\frac{x \left(x - 4\right)}{\left(x + 2\right)^{\frac{2}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}$$
(x*(x - 4))/(((x + 2)^(2/3)*Abs((x - 4)^(4/3))))
Primera derivada
[src]
/ / 5/3 5/3 \ \
| | / -4 + x \ 2/4*atan2(0, -4 + x)\ / -4 + x \ 2/4*atan2(0, -4 + x)\ | |
| |4*|------------| *cos |------------------|*sign(-4 + x) 4*|------------| *sin |------------------|*sign(-4 + x)| |
| 2/3 | \sign(-4 + x)/ \ 3 / \sign(-4 + x)/ \ 3 / | / 4/3\|
| | 4/3| (x + 2) *|--------------------------------------------------------- + ---------------------------------------------------------|*sign\(-4 + x) /|
| 2*|(x - 4) | \ 3 3 / |
x*(x - 4)*|- -------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------|
| 3 _______ 4/3 |
1 \ 3*\/ x + 2 (-4 + x) /
-----------------------*(-4 + 2*x) + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2/3 | 4/3| 2
(x + 2) *|(x - 4) | 4/3 | 4/3|
(x + 2) *|(x - 4) |
$$\frac{x \left(x - 4\right) \left(- \frac{2 \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{3 \sqrt[3]{x + 2}} - \frac{\left(x + 2\right)^{\frac{2}{3}} \left(\frac{4 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{3} + \frac{4 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{3}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}}\right)}{\left(x + 2\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|^{2}} + \frac{1}{\left(x + 2\right)^{\frac{2}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} \left(2 x - 4\right)$$
Segunda derivada
[src]
/ / / 5/3 \ / 5/3 \ \\
| | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | ||
| | || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ 5/3 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| ||
| / 5/3 \ | ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 5/3 \ / 5/3 \ 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 5/3 / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 4/3\ ||
| | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | 2*|------------- + -------------------------------------------------------------------------------------------------------------------| | / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ 4*|------------| *|cos |------------------| + sin |------------------||*|------------- + -------------------------------------------------------------------------------------------------------------------|*sign\(-4 + x) /*sign(-4 + x)||
| || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| || 4/3| | 3 _______ 4/3 | | 2*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 2*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 6*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 8*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) \sign(-4 + x)/ \ \ 3 / \ 3 // | 3 _______ 4/3 | ||
| ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | ||(-4 + x) | \ \/ 2 + x (-4 + x) / | 1 \sign(-4 + x)/ \ \ 3 / \ 3 // | ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // \ \/ 2 + x (-4 + x) / ||
| 4*(-2 + x)*|------------- + -------------------------------------------------------------------------------------------------------------------| x*(-4 + x)*|------------- + --------------------------------------------------------------------------------------------------------------------------------------- + 2*|----- + --------------------------------------------------------------------------------------------------------|*|------------- + -------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
| | 3 _______ 4/3 | | 4/3 2 + x |2 + x 4/3 | 4/3| | | 3 _______ 4/3 | 4/3 4/3 3 _______ 4/3 7/3 4/3 | 4/3| ||
| \ \/ 2 + x (-4 + x) / \ (2 + x) \ (-4 + x) *|(-4 + x) | / \ \/ 2 + x (-4 + x) / (-4 + x) (-4 + x) *\/ 2 + x (-4 + x) (-4 + x) (-4 + x) *|(-4 + x) | /|
2*|1 - ------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| 2/3 | 4/3| 2/3 | 4/3| |
\ 3*(2 + x) *|(-4 + x) | 9*(2 + x) *|(-4 + x) | /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2/3 | 4/3|
(2 + x) *|(-4 + x) |
$$\frac{2 \left(\frac{x \left(x - 4\right) \left(- \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} - \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{4 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} + 2 \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{1}{x + 2}\right) + \frac{2 \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right)}{x + 2} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\left(x + 2\right)^{\frac{4}{3}}}\right)}{9 \left(x + 2\right)^{\frac{2}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{4 \left(x - 2\right) \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right)}{3 \left(x + 2\right)^{\frac{2}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + 1\right)}{\left(x + 2\right)^{\frac{2}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}$$
Tercera derivada
[src]
/ / / / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ \ / / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ \ \ \
| | | 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 5/3 | / 5/3 \ / 5/3 \ / 5/3 \ / / 2 \ / 2 \ 2 2 \ / 5/3 \ / 5/3 \ | 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 5/3 | / 5/3 \ / 5/3 \ / 5/3 \ / 5/3 \ / 5/3 \ | |
| / / 5/3 \ / 5/3 \ \ | | / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | 2/4*atan2(0, -4 + x)\ | 4*DiracDelta (-4 + x)*(-4 + x)| 2/4*atan2(0, -4 + x)\ | 4*DiracDelta (-4 + x)*(-4 + x)| 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | |
| | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | | / / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ \ / / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ \ | | 4/3| 2*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 8*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 6*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | 2*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 5/3 | 30*cos |------------------|*|2*DiracDelta(-4 + x) + (-4 + x)*DiracDelta(-4 + x, 1) - ------------------------------| 30*sin |------------------|*|2*DiracDelta(-4 + x) + (-4 + x)*DiracDelta(-4 + x, 1) - ------------------------------| 90*cos |------------------|*|-1 + -----------------------------|*DiracDelta(-4 + x) 90*sin |------------------|*|-1 + -----------------------------|*DiracDelta(-4 + x) 15*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 15*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x) 25*|-1 + -----------------------------| *cos |------------------|*sign(-4 + x) 25*|-1 + -----------------------------| *sin |------------------|*sign(-4 + x)| / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ 5/3 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 2 5/3 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 5/3 | | 4/3| 2*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 8*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 6*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 5/3 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 10/3 2 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 5/3 | 2*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 5/3 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | |
| | || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| / 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ 2/4*atan2(0, -4 + x)\ / 2*(-4 + x)*DiracDelta(-4 + x)\ \ 5/3 || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | |/ 5/3 \ | 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 10/3 2 5/3 | / 5/3 \ | 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 5/3 | | |(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // | ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | | 1 \sign(-4 + x)/ \ \ 3 / \ 3 // | ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / \ 3 / | / 4/3\ 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 5/3 / -4 + x \ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ 5/3 5/3 / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ | |(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // | / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ 2/ 4/3\ 2 ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / -4 + x \ | 1 \sign(-4 + x)/ \ \ 3 / \ 3 // | / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 4/3\ | |
| | ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 5/3 \ / 5/3 \ 5/3 | 5*cos |------------------|*|-1 + -----------------------------|*sign(-4 + x) 5*sin |------------------|*|-1 + -----------------------------|*sign(-4 + x)| 5/3 5/3 5/3 / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | / 4/3\ | || / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ 2/ 4/3\ 2 / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | 3*|- ------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| 7*|------------- + -------------------------------------------------------------------------------------------------------------------| 2*|----- + --------------------------------------------------------------------------------------------------------|*|------------- + -------------------------------------------------------------------------------------------------------------------| |------------| *(2 + x) *|18*cos |------------------|*DiracDelta(-4 + x, 1) + 18*sin |------------------|*DiracDelta(-4 + x, 1) - -------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + ------------------------------------------------------------------------------ + ------------------------------------------------------------------------------|*sign\(-4 + x) / / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ 2*|------------| *|------------- + -------------------------------------------------------------------------------------------------------------------|*|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 9*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*---\sign\(-4 + x) //*sign(-4 + x) / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ 6*|------------| *|cos |------------------| + sin |------------------||*|------------- + -------------------------------------------------------------------------------------------------------------------|*--\sign\(-4 + x) //*sign(-4 + x) 6*|------------| *|cos |------------------| + sin |------------------||*|- ------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------|*sign\(-4 + x) /*sign(-4 + x) 8*|------------| *|cos |------------------| + sin |------------------||*|------------- + -------------------------------------------------------------------------------------------------------------------|*sign\(-4 + x) /*sign(-4 + x) 24*|------------| *|cos |------------------| + sin |------------------|| *sign \(-4 + x) /*sign (-4 + x)*|------------- + -------------------------------------------------------------------------------------------------------------------| 4*|------------| *|----- + --------------------------------------------------------------------------------------------------------|*|cos |------------------| + sin |------------------||*|------------- + -------------------------------------------------------------------------------------------------------------------|*sign\(-4 + x) /*sign(-4 + x) 16*|------------| *|cos |------------------| + sin |------------------||*|------------- + -------------------------------------------------------------------------------------------------------------------|*sign\(-4 + x) /*sign(-4 + x)| |
| | 2*|------------- + -------------------------------------------------------------------------------------------------------------------| | / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ | / -4 + x \ 2/3 | 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\ \ 3 / \ sign(-4 + x) / \ 3 / \ sign(-4 + x) / | / 4/3\ / -4 + x \ / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ d / / 4/3\\ / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ 4*|------------| *|cos |------------------| + sin |------------------||*|------------- + -------------------------------------------------------------------------------------------------------------------|*sign\(-4 + x) /*sign(-4 + x)| ||| 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | 2*|------------| *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 6*|------------| *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 16*|------------| *|cos |------------------| + sin |------------------|| *sign \(-4 + x) /*sign (-4 + x) 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | 2*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | | 4/3| 2*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 8*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 6*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| | 4/3 4/3 7/3 4/3 4/3 3 _______ | | 4/3| | 3 _______ 4/3 | |2 + x 4/3 | 4/3| | | 3 _______ 4/3 | \sign(-4 + x)/ | \ 3 / \ 3 / -4 + x -4 + x -4 + x -4 + x 2 2 2 2 | 8*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 6*|------------| *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 6*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*--\sign\(-4 + x) // 24*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 24*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 6*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) \sign(-4 + x)/ | 3 _______ 4/3 | \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // 2 18*|------------| *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 28*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) \sign(-4 + x)/ \ \ 3 / \ 3 // | 3 _______ 4/3 | dx \sign(-4 + x)/ \ \ 3 / \ 3 // | 4/3 4/3 7/3 4/3 4/3 3 _______ | \sign(-4 + x)/ \ \ 3 / \ 3 // | 3 _______ 4/3 | \sign(-4 + x)/ \ \ 3 / \ 3 // | 3 _______ 4/3 | \sign(-4 + x)/ |2 + x 4/3 | 4/3| | \ \ 3 / \ 3 // | 3 _______ 4/3 | \sign(-4 + x)/ \ \ 3 / \ 3 // | 3 _______ 4/3 | | |
| || 4/3| | 3 _______ 4/3 | | 2*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| || 4/3| 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)| 2*|------------| *(2 + x) *|6*cos |------------------|*DiracDelta(-4 + x) + 6*sin |------------------|*DiracDelta(-4 + x) - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*sign\(-4 + x) / 8*|------------| *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) 6*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*--\sign\(-4 + x) //*sign(-4 + x) 8*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x) \sign(-4 + x)/ \ \ 3 / \ 3 // | 3 _______ 4/3 | | |||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | | 5 \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // | | 1 \sign(-4 + x)/ \ \ 3 / \ 3 // | | |(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // | \ (2 + x) (-4 + x) (-4 + x) (-4 + x) (-4 + x) *\/ 2 + x / 2*|(-4 + x) | \ \/ 2 + x (-4 + x) / \ (-4 + x) *|(-4 + x) | / \ \/ 2 + x (-4 + x) / \ (-4 + x) (-4 + x) (-4 + x) (-4 + x) / \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / dx \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // \ \/ 2 + x (-4 + x) / dx \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // \ \/ 2 + x (-4 + x) / \ (2 + x) (-4 + x) (-4 + x) (-4 + x) (-4 + x) *\/ 2 + x / \ \/ 2 + x (-4 + x) / \ \/ 2 + x (-4 + x) / \ (-4 + x) *|(-4 + x) | / \ \/ 2 + x (-4 + x) / \ \/ 2 + x (-4 + x) / | |
| ||(-4 + x) | \ \/ 2 + x (-4 + x) / | 1 \sign(-4 + x)/ \ \ 3 / \ 3 // | ||(-4 + x) | \sign(-4 + x)/ \ \ 3 / \ 3 // | \sign(-4 + x)/ \ \ 3 / \ 3 / -4 + x -4 + x / \sign(-4 + x)/ \ \ 3 / \ 3 // \sign(-4 + x)/ \ \ 3 / \ 3 // dx \sign(-4 + x)/ \ \ 3 / \ 3 // \ \/ 2 + x (-4 + x) / | x*(-4 + x)*||------------- + -------------------------------------------------------------------------------------------------------------------|*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| - |----- + --------------------------------------------------------------------------------------------------------|*|- ------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------- + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 5/3 |
| (-2 + x)*|------------- + --------------------------------------------------------------------------------------------------------------------------------------- + 2*|----- + --------------------------------------------------------------------------------------------------------|*|------------- + -------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| || 3 _______ 4/3 | | 2 4/3 | 4/3| 4/3 | 4/3| 7/3 | 4/3| 2 4/3 | 4/3| | |2 + x 4/3 | 4/3| | | 4/3 4/3 7/3 4/3 4/3 3 _______ | 2 + x 7/3 2 2 + x 4/3 7/3 4/3 3 _______ 4/3 7/3 3 _______ 7/3 4/3 4/3 4/3 | 4/3| 4/3 4/3 3 _______ 10/3 4/3 | 4/3| 4/3 | 4/3| 7/3 | 4/3| 2 4/3 | 4/3| 4/3 | 4/3| | / -4 + x \ 2/3 / 2/4*atan2(0, -4 + x)\ 2/4*atan2(0, -4 + x)\\ / 4/3\ |
| | 4/3| | 4/3 2 + x |2 + x 4/3 | 4/3| | | 3 _______ 4/3 | 4/3 4/3 3 _______ 4/3 7/3 4/3 | 4/3| | |\ \/ 2 + x (-4 + x) / |(2 + x) (-4 + x) *|(-4 + x) | (-4 + x) *|(-4 + x) | (-4 + x) *|(-4 + x) | 8/3 | 4/3| (-4 + x) *(2 + x)*|(-4 + x) | | \ (-4 + x) *|(-4 + x) | / \ (2 + x) (-4 + x) (-4 + x) (-4 + x) (-4 + x) *\/ 2 + x / (2 + x) (2 + x) (-4 + x) (-4 + x) (-4 + x) *\/ 2 + x (-4 + x) (-4 + x) *\/ 2 + x (-4 + x) (-4 + x) *(2 + x) (-4 + x) *|(-4 + x) | (-4 + x) (-4 + x) *\/ 2 + x (-4 + x) (-4 + x) *|(-4 + x) | (-4 + x) *|(-4 + x) | (-4 + x) *|(-4 + x) | 8/3 | 4/3| (-4 + x) *|(-4 + x) | (-4 + x) *(2 + x)*|(-4 + x) | | 2*|------------| *(2 + x) *|cos |------------------| + sin |------------------||*sign\(-4 + x) /*sign(-4 + x)|
| |(-4 + x) | \ (2 + x) \ (-4 + x) *|(-4 + x) | / \ \/ 2 + x (-4 + x) / (-4 + x) (-4 + x) *\/ 2 + x (-4 + x) (-4 + x) (-4 + x) *|(-4 + x) | / \ \ (-4 + x) *|(-4 + x) | / (-4 + x) *|(-4 + x) | / \sign(-4 + x)/ \ \ 3 / \ 3 // |
4*|- ------------- + 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| 3 _______ 3 27 4/3 |
\ \/ 2 + x (-4 + x) /
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2
4/3 | 4/3|
(2 + x) *|(-4 + x) |
$$\frac{4 \left(- \frac{x \left(x - 4\right) \left(\frac{24 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{10}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right)^{2} \operatorname{sign}^{2}{\left(x - 4 \right)} \operatorname{sign}^{2}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{8}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|^{2}} + \frac{9 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d^{2}}{d x^{2}} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(18 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta^{\left( 1 \right)}\left( x - 4 \right) + 18 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta^{\left( 1 \right)}\left( x - 4 \right) - \frac{90 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right)}{x - 4} - \frac{90 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right)}{x - 4} - \frac{30 \left(- \frac{4 \left(x - 4\right) \left(\delta\left(x - 4\right)\right)^{2}}{\operatorname{sign}{\left(x - 4 \right)}} + \left(x - 4\right) \delta^{\left( 1 \right)}\left( x - 4 \right) + 2 \delta\left(x - 4\right)\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}}{x - 4} - \frac{30 \left(- \frac{4 \left(x - 4\right) \left(\delta\left(x - 4\right)\right)^{2}}{\operatorname{sign}{\left(x - 4 \right)}} + \left(x - 4\right) \delta^{\left( 1 \right)}\left( x - 4 \right) + 2 \delta\left(x - 4\right)\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}}{x - 4} + \frac{25 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right)^{2} \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{\left(x - 4\right)^{2}} + \frac{25 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right)^{2} \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{\left(x - 4\right)^{2}} + \frac{15 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{\left(x - 4\right)^{2}} + \frac{15 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{\left(x - 4\right)^{2}}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{4 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{1}{x + 2}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \left(\frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} - \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} - \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\left(x + 2\right)^{\frac{4}{3}}}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{16 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left(x + 2\right) \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{18 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} + \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} - \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left(x + 2\right)^{\frac{4}{3}}} - \frac{24 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} - \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{24 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}} \sqrt[3]{x + 2}} + \frac{28 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{10}{3}}} + \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\frac{16 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{10}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right)^{2} \operatorname{sign}^{2}{\left(x - 4 \right)} \operatorname{sign}^{2}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{8}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|^{2}} - \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left(x + 2\right) \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{5}{\left(x + 2\right)^{2}}\right) - \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{1}{x + 2}\right) \left(\frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} - \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} - \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\left(x + 2\right)^{\frac{4}{3}}}\right) + \frac{2 \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{1}{x + 2}\right)}{x + 2} - \frac{3 \left(\frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} - \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} - \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\left(x + 2\right)^{\frac{4}{3}}}\right)}{x + 2} + \frac{7 \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right)}{\left(x + 2\right)^{2}} + \frac{2 \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\left(x + 2\right)^{\frac{7}{3}}}\right)}{27} - \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left(x - 2\right) \left(- \frac{6 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \frac{d}{d x} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} - \frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \delta\left(x - 4\right) - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4} - \frac{5 \left(\frac{2 \left(x - 4\right) \delta\left(x - 4\right)}{\operatorname{sign}{\left(x - 4 \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} \operatorname{sign}{\left(x - 4 \right)}}{x - 4}\right) \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{4 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} - \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \sqrt[3]{x + 2}} + \frac{8 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{7}{3}}} + 2 \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right) \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|} + \frac{1}{x + 2}\right) + \frac{2 \left(\frac{2 \left(\frac{x - 4}{\operatorname{sign}{\left(x - 4 \right)}}\right)^{\frac{5}{3}} \left(x + 2\right)^{\frac{2}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x - 4 \right)}}{3} \right)}\right) \operatorname{sign}{\left(x - 4 \right)} \operatorname{sign}{\left(\left(x - 4\right)^{\frac{4}{3}} \right)}}{\left(x - 4\right)^{\frac{4}{3}}} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right)}{x + 2} + \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\left(x + 2\right)^{\frac{4}{3}}}\right)}{3} - \frac{\left|{\left(x - 4\right)^{\frac{4}{3}}}\right|}{\sqrt[3]{x + 2}}\right)}{\left(x + 2\right)^{\frac{4}{3}} \left|{\left(x - 4\right)^{\frac{4}{3}}}\right|^{2}}$$
Gráfico