Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de -2*y
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Derivada de 3^2*x
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Derivada de 2*x+8/x
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Derivada de -1/y
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Expresiones idénticas
- ((x*ln(x^ dos + cuatro)+e^ tres +cos(cos(x^ tres)))/(x^(- dos)+3x^ cinco +ctg(x^ dos *sinx)))^(uno / doscientos trece)
- ((x multiplicar por ln(x al cuadrado más 4) más e al cubo más coseno de ( coseno de (x al cubo ))) dividir por (x en el grado ( menos 2) más 3x en el grado 5 más ctg(x al cuadrado multiplicar por seno de x))) en el grado (1 dividir por 213)
- ((x multiplicar por ln(x en el grado dos más cuatro) más e en el grado tres más coseno de ( coseno de (x en el grado tres))) dividir por (x en el grado ( menos dos) más 3x en el grado cinco más ctg(x en el grado dos multiplicar por seno de x))) en el grado (uno dividir por doscientos trece)
- ((x*ln(x2+4)+e3+cos(cos(x3)))/(x(-2)+3x5+ctg(x2*sinx)))(1/213)
- x*lnx2+4+e3+coscosx3/x-2+3x5+ctgx2*sinx1/213
- ((x*ln(x²+4)+e³+cos(cos(x³)))/(x^(-2)+3x⁵+ctg(x²*sinx)))^(1/213)
- ((x*ln(x en el grado 2+4)+e en el grado 3+cos(cos(x en el grado 3)))/(x en el grado (-2)+3x en el grado 5+ctg(x en el grado 2*sinx))) en el grado (1/213)
- ((xln(x^2+4)+e^3+cos(cos(x^3)))/(x^(-2)+3x^5+ctg(x^2sinx)))^(1/213)
- ((xln(x2+4)+e3+cos(cos(x3)))/(x(-2)+3x5+ctg(x2sinx)))(1/213)
- xlnx2+4+e3+coscosx3/x-2+3x5+ctgx2sinx1/213
- xlnx^2+4+e^3+coscosx^3/x^-2+3x^5+ctgx^2sinx^1/213
- ((x*ln(x^2+4)+e^3+cos(cos(x^3))) dividir por (x^(-2)+3x^5+ctg(x^2*sinx)))^(1 dividir por 213)
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Expresiones semejantes
- ((x*ln(x^2+4)+e^3+cos(cos(x^3)))/(x^(-2)-3x^5+ctg(x^2*sinx)))^(1/213)
- ((x*ln(x^2-4)+e^3+cos(cos(x^3)))/(x^(-2)+3x^5+ctg(x^2*sinx)))^(1/213)
- ((x*ln(x^2+4)+e^3+cos(cos(x^3)))/(x^(2)+3x^5+ctg(x^2*sinx)))^(1/213)
- ((x*ln(x^2+4)+e^3+cos(cos(x^3)))/(x^(-2)+3x^5-ctg(x^2*sinx)))^(1/213)
- ((x*ln(x^2+4)-e^3+cos(cos(x^3)))/(x^(-2)+3x^5+ctg(x^2*sinx)))^(1/213)
- ((x*ln(x^2+4)+e^3-cos(cos(x^3)))/(x^(-2)+3x^5+ctg(x^2*sinx)))^(1/213)
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Expresiones con funciones
- ln
- ln(x+10)^11
- ln((x^2)-1)
- ln3x^5
- ln^3(x^2+1)
- ln(1+|x|)
- Coseno cos
- cos(x^(2/3))/(sin(3*x)+2^x)
- cos(4*x+6)^(2)
- cos(-3x)
- cos(3*x)*cos(2*x)+sin(3*x)*sin(2*x)
- cos(3)+x^2
- Coseno cos
- cos(x^(2/3))/(sin(3*x)+2^x)
- cos(4*x+6)^(2)
- cos(-3x)
- cos(3*x)*cos(2*x)+sin(3*x)*sin(2*x)
- cos(3)+x^2
Derivada de ((x*ln(x^2+4)+e^3+cos(cos(x^3)))/(x^(-2)+3x^5+ctg(x^2*sinx)))^(1/213)
Solución
Ha introducido
[src]
___________________________________
/ / 2 \ 3 / / 3\\
/ x*log\x + 4/ + E + cos\cos\x //
/ ---------------------------------
/ 1 5 / 2 \
/ -- + 3*x + cot\x *sin(x)/
213/ 2
\/ x
$$\sqrt[213]{\frac{\left(x \log{\left(x^{2} + 4 \right)} + e^{3}\right) + \cos{\left(\cos{\left(x^{3} \right)} \right)}}{\left(3 x^{5} + \frac{1}{x^{2}}\right) + \cot{\left(x^{2} \sin{\left(x \right)} \right)}}}$$
((x*log(x^2 + 4) + E^3 + cos(cos(x^3)))/(x^(-2) + 3*x^5 + cot(x^2*sin(x))))^(1/213)
Primera derivada
[src]
/ 2 \
| 2*x 2 / 3\ / / 3\\ / 2 \ / / 2 \ 3 / / 3\\\ / 4 2 / 2/ 2 \\ / 2 \\|
___________________________________ |------ + 3*x *sin\x /*sin\cos\x // + log\x + 4/ \x*log\x + 4/ + E + cos\cos\x ///*|- 15*x + -- - \-1 - cot \x *sin(x)//*\x *cos(x) + 2*x*sin(x)/||
/ / 2 \ 3 / / 3\\ | 2 | 3 ||
/ x*log\x + 4/ + E + cos\cos\x // |x + 4 \ x /| /1 5 / 2 \\
/ --------------------------------- *|------------------------------------------------ + ----------------------------------------------------------------------------------------------------|*|-- + 3*x + cot\x *sin(x)/|
/ 1 5 / 2 \ | /1 5 / 2 \\ 2 | | 2 |
/ -- + 3*x + cot\x *sin(x)/ | 213*|-- + 3*x + cot\x *sin(x)/| /1 5 / 2 \\ | \x /
213/ 2 | | 2 | 213*|-- + 3*x + cot\x *sin(x)/| |
\/ x | \x / | 2 | |
\ \x / /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 \ 3 / / 3\\
x*log\x + 4/ + E + cos\cos\x //
$$\frac{\sqrt[213]{\frac{\left(x \log{\left(x^{2} + 4 \right)} + e^{3}\right) + \cos{\left(\cos{\left(x^{3} \right)} \right)}}{\left(3 x^{5} + \frac{1}{x^{2}}\right) + \cot{\left(x^{2} \sin{\left(x \right)} \right)}}} \left(\frac{3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}}{213 \left(\left(3 x^{5} + \frac{1}{x^{2}}\right) + \cot{\left(x^{2} \sin{\left(x \right)} \right)}\right)} + \frac{\left(\left(x \log{\left(x^{2} + 4 \right)} + e^{3}\right) + \cos{\left(\cos{\left(x^{3} \right)} \right)}\right) \left(- 15 x^{4} - \left(x^{2} \cos{\left(x \right)} + 2 x \sin{\left(x \right)}\right) \left(- \cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} - 1\right) + \frac{2}{x^{3}}\right)}{213 \left(\left(3 x^{5} + \frac{1}{x^{2}}\right) + \cot{\left(x^{2} \sin{\left(x \right)} \right)}\right)^{2}}\right) \left(\left(3 x^{5} + \frac{1}{x^{2}}\right) + \cot{\left(x^{2} \sin{\left(x \right)} \right)}\right)}{\left(x \log{\left(x^{2} + 4 \right)} + e^{3}\right) + \cos{\left(\cos{\left(x^{3} \right)} \right)}}$$
Segunda derivada
[src]
/ 2 \
|/ / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ |
|| |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | |
|| 2 | 3 | | | 2 | 3 | | / 2 \ | 2 | 3 | | |
|| 2*x \ x / 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ | 2*x \ x / 2 / 3\ / / 3\\ / 2\| | 2*x 2 / 3\ / / 3\\ / 2\| | 2*x \ x / 2 / 3\ / / 3\\ / 2\| |
||------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 213*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 213*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /|*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| / 2 \ 2 |
|| 2 1 5 / 2 \ | | 3 | | 2 1 5 / 2 \ | / / 2\ / / 3\\ 3\ /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ | 2 | | 2 1 5 / 2 \ | / 4 2 / 2/ 2 \\ \ | 2*x 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\|
___________________________________ ||4 + x -- + 3*x + cot\x *sin(x)/ | \ x / |4 + x -- + 3*x + cot\x *sin(x)/ | 213*\x*log\4 + x / + cos\cos\x // + e /*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/| \4 + x / |4 + x -- + 3*x + cot\x *sin(x)/ | 426*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 426*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| *\x*log\4 + x / + cos\cos\x // + e /|
/ / 2\ / / 3\\ 3 || 2 | / 2 \ | 2 | | 4 | | 2 | | 3 | | 2 | | 3 | |
/ x*log\4 + x / + cos\cos\x // + e |\ x / | 6 4*x / 3\ / / 3\\ 3 2/ 3\ / / 3\\ 3 / 3\ / / 3\\| \ x / \x / \ x / \ x / \4 + x / \ x / |
/ --------------------------------- *|-------------------------------------------------------------------------------------------------------------------------------------------------------- + 213*x*|------ - --------- + 6*sin\x /*sin\cos\x // - 9*x *sin \x /*cos\cos\x // + 9*x *cos\x /*sin\cos\x //| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------|
/ 1 5 / 2 \ | / 2\ / / 3\\ 3 | 2 2 | 1 5 / 2 \ 1 5 / 2 \ / 2\ / / 3\\ 3 1 5 / 2 \ 2 |
/ -- + 3*x + cot\x *sin(x)/ | x*log\4 + x / + cos\cos\x // + e |4 + x / 2\ | -- + 3*x + cot\x *sin(x)/ -- + 3*x + cot\x *sin(x)/ x*log\4 + x / + cos\cos\x // + e -- + 3*x + cot\x *sin(x)/ /1 5 / 2 \\ |
213/ 2 | \ \4 + x / / 2 2 2 |-- + 3*x + cot\x *sin(x)/| |
\/ x | x x x | 2 | |
\ \x / /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ / 2\ / / 3\\ 3\
45369*\x*log\4 + x / + cos\cos\x // + e /
$$\frac{\sqrt[213]{\frac{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}}} \left(213 x \left(- 9 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 9 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + 6 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{6}{x^{2} + 4}\right) + \frac{426 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right)^{2} \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{2}} + \frac{426 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{213 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{213 \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)}{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}} + \frac{\left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)^{2}}{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}} - \frac{213 \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right) \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}}\right)}{45369 \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}$$
Tercera derivada
[src]
/ / / 2 \ 2 \ / / 2 \ 2 \ / / 2 \ 2 \ \
| 3 | / / 2\ / / 3\\ 3\ /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ / 4 2 / 2/ 2 \\ \ | 2*x 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\| | / / 2\ / / 3\\ 3\ /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ / 4 2 / 2/ 2 \\ \ | 2*x 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\| 2 | / / 2\ / / 3\\ 3\ /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ / 4 2 / 2/ 2 \\ \ | 2*x 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\| / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ 2 |
| / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ | \x*log\4 + x / + cos\cos\x // + e /*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/| 2*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 2*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| *\x*log\4 + x / + cos\cos\x // + e /| | \x*log\4 + x / + cos\cos\x // + e /*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/| 2*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 2*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| *\x*log\4 + x / + cos\cos\x // + e /| / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ | \x*log\4 + x / + cos\cos\x // + e /*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/| 2*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 2*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| *\x*log\4 + x / + cos\cos\x // + e /| | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \ / / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ \|
| | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | / 2 \ | 4 | | 3 | | 2 | | 3 | | / 2 \ | / 2 \ | 4 | | 3 | | 2 | | 3 | | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | / 2 \ | 4 | | 3 | | 2 | | 3 | | | 2 | 3 | | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | 2 | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / | | |- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e / ||
| | 2 | 3 | | / 4 2 / 2/ 2 \\ \ | | 6 4*x / 3\ / / 3\\ 3 2/ 3\ / / 3\\ 3 / 3\ / / 3\\| \x / \ x / \4 + x / \ x / | | 2*x 2 / 3\ / / 3\\ / 2\| | | 6 4*x / 3\ / / 3\\ 3 2/ 3\ / / 3\\ 3 / 3\ / / 3\\| \x / \ x / \4 + x / \ x / | | 2 | 3 | | / 2 \ | | 6 4*x / 3\ / / 3\\ 3 2/ 3\ / / 3\\ 3 / 3\ / / 3\\| \x / \ x / \4 + x / \ x / | | 2*x \ x / 2 / 3\ / / 3\\ / 2\| | 2 | 3 | | / 2 \ | 2 | 3 | | | 2 | 3 | | / 2 \ | 2 | 3 | | / 2 \ | 2 | 3 | ||
| | 2*x \ x / 2 / 3\ / / 3\\ / 2\| 90738*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|x*|------ - --------- + 6*sin\x /*sin\cos\x // - 9*x *sin \x /*cos\cos\x // + 9*x *cos\x /*sin\cos\x //| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------| 90738*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /|*|x*|------ - --------- + 6*sin\x /*sin\cos\x // - 9*x *sin \x /*cos\cos\x // + 9*x *cos\x /*sin\cos\x //| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------| | 2*x \ x / 2 / 3\ / / 3\\ / 2\| | 2*x 2 / 3\ / / 3\\ / 2\| 639*|x*|------ - --------- + 6*sin\x /*sin\cos\x // - 9*x *sin \x /*cos\cos\x // + 9*x *cos\x /*sin\cos\x //| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------|*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ | 2*x \ x / 2 / 3\ / / 3\\ / 2\| | 2*x 2 / 3\ / / 3\\ / 2\| | 2*x \ x / 2 / 3\ / / 3\\ / 2\| | 2*x \ x / 2 / 3\ / / 3\\ / 2\| | 6 4*x / 3\ / / 3\\ 3 2/ 3\ / / 3\\ 3 / 3\ / / 3\\| | 2*x \ x / 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ / 2 \ / 4 2 / 2/ 2 \\ \ | 2*x 2 / 3\ / / 3\\ / 2\| | 2*x \ x / 2 / 3\ / / 3\\ / 2\||
| |------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| / 2 \ | 3 | | | 2 2 | 1 5 / 2 \ 1 5 / 2 \ 2 | | 2 | | | 2 2 | 1 5 / 2 \ 1 5 / 2 \ 2 | / 2 \ 639*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| *|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| | | 2 2 | 1 5 / 2 \ 1 5 / 2 \ 2 | | 2 1 5 / 2 \ | 45369*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/|*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 90738*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| *|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 3 2 / 2 \ 45369*x*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /|*|------ - --------- + 6*sin\x /*sin\cos\x // - 9*x *sin \x /*cos\cos\x // + 9*x *cos\x /*sin\cos\x //| 639*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /| *|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| / 4 2 / 2/ 2 \\ \ | 6 4*x / 3\ / / 3\\ 3 2/ 3\ / / 3\\ 3 / 3\ / / 3\\| 90738*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /|*|------ + -------------------------------------------------------------------------------------------------- + 3*x *sin\x /*sin\cos\x // + log\4 + x /||
| | 2 1 5 / 2 \ | | 2*x 2 / 3\ / / 3\\ / 2\| /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ \ x / | |4 + x / 2\ | -- + 3*x + cot\x *sin(x)/ -- + 3*x + cot\x *sin(x)/ /1 5 / 2 \\ | \4 + x / | |4 + x / 2\ | -- + 3*x + cot\x *sin(x)/ -- + 3*x + cot\x *sin(x)/ /1 5 / 2 \\ | / / 2\ / / 3\\ 3\ | 24 2 / 2/ 2 \\ / 2 \ 3 / 2/ 2 \\ 3 3 3 2/ 2 \ / 2/ 2 \\ / 2/ 2 \\ / 2 \ / 2 \| | 2 1 5 / 2 \ | | 2 | | |4 + x / 2\ | -- + 3*x + cot\x *sin(x)/ -- + 3*x + cot\x *sin(x)/ /1 5 / 2 \\ | |4 + x -- + 3*x + cot\x *sin(x)/ | | 4 | | 2 1 5 / 2 \ | | 2 | | 2 1 5 / 2 \ | / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ / 4 2 / 2/ 2 \\ \ | 2*x 2 / 3\ / / 3\\ / 2\| / 4 2 / 2/ 2 \\ \ / / 2\ / / 3\\ 3\ /6 3 / 2/ 2 \\ / 2 \ 2 2 / 2/ 2 \\ / 2 \\ | 2 1 5 / 2 \ | | 2 2 | | 2 1 5 / 2 \ | | 3 | 136107*x*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*|------ - --------- + 6*sin\x /*sin\cos\x // - 9*x *sin \x /*cos\cos\x // + 9*x *cos\x /*sin\cos\x //| | 3 | | 2 | | 2 1 5 / 2 \ ||
___________________________________ | |4 + x -- + 3*x + cot\x *sin(x)/ | 136107*|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /|*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/| | \ \4 + x / / 2 2 |-- + 3*x + cot\x *sin(x)/| | | \ \4 + x / / 2 2 |-- + 3*x + cot\x *sin(x)/| | 45369*\x*log\4 + x / + cos\cos\x // + e /*|- -- + 180*x + \1 + cot \x *sin(x)//*\-6*cos(x) + x *cos(x) + 6*x*sin(x)/ - 2*x *\1 + cot \x *sin(x)// *(2*sin(x) + x*cos(x)) - 4*x *(2*sin(x) + x*cos(x)) *cot \x *sin(x)/*\1 + cot \x *sin(x)// + 6*x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))*\2*sin(x) - x *sin(x) + 4*x*cos(x)/*cot\x *sin(x)/| |4 + x -- + 3*x + cot\x *sin(x)/ | \4 + x / | \ \4 + x / / 2 2 |-- + 3*x + cot\x *sin(x)/| | | 2 | \x / |4 + x -- + 3*x + cot\x *sin(x)/ | \4 + x / |4 + x -- + 3*x + cot\x *sin(x)/ | 272214*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| *\x*log\4 + x / + cos\cos\x // + e / 272214*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))| *|------ + 3*x *sin\x /*sin\cos\x // + log\4 + x /| 272214*|- 15*x + -- + x*\1 + cot \x *sin(x)//*(2*sin(x) + x*cos(x))|*\x*log\4 + x / + cos\cos\x // + e /*|-- + 60*x - \1 + cot \x *sin(x)//*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 2*x *(2*sin(x) + x*cos(x)) *\1 + cot \x *sin(x)//*cot\x *sin(x)/| |4 + x -- + 3*x + cot\x *sin(x)/ | |4 + x / 2\ | |4 + x -- + 3*x + cot\x *sin(x)/ | \ x / | 3 | | 2 2 | \ x / \4 + x / |4 + x -- + 3*x + cot\x *sin(x)/ ||
/ / 2\ / / 3\\ 3 | | 2 | 2 4 | 2 | | 4 | | x x | 2 | | | x x | 2 | | | 5 | | 2 | | x x | 2 | | \ x / | 2 | | 2 | | 3 | | 3 | | 2 | | 3 | | 4 | | 2 | \ \4 + x / / | 2 | \ x / |4 + x / 2\ | | 2 ||
/ x*log\4 + x / + cos\cos\x // + e |272214 \ x / 1088856*x / 3\ / / 3\\ 725904*x 3 2/ 3\ / / 3\\ 6 3/ 3\ / / 3\\ 6 / 3\ / / 3\\ \4 + x / \x / \ \x / / \ \x / / \ x / \ x / \ \x / / \ x / \ x / \ x / \ x / \4 + x / 3 / 3\ / / 3\\ 6 / 3\ / / 3\\ / 3\ \ x / \x / \ x / \ x / \ \4 + x / / \ x /|
/ --------------------------------- *|------ + -------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------- + 272214*sin\x /*sin\cos\x // + --------- - 2449926*x *sin \x /*cos\cos\x // - 1224963*x *sin \x /*sin\cos\x // - 1224963*x *sin\x /*sin\cos\x // - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------- + 2449926*x *cos\x /*sin\cos\x // - 3674889*x *cos\x /*cos\cos\x //*sin\x / - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ 1 5 / 2 \ | 2 2 2 3 1 5 / 2 \ 1 5 / 2 \ / 2\ / / 3\\ 3 1 5 / 2 \ 2 / 2\ / / 3\\ 3 1 5 / 2 \ 2 3 2 2 / 2\ / / 3\\ 3 /1 5 / 2 \\ / / 2\ / / 3\\ 3\ 1 5 / 2 \ /1 5 / 2 \\ / / 2\ / / 3\\ 3\ |
/ -- + 3*x + cot\x *sin(x)/ |4 + x / / 2\ / / 3\\ 3\ / 2\ / 2\ -- + 3*x + cot\x *sin(x)/ -- + 3*x + cot\x *sin(x)/ x*log\4 + x / + cos\cos\x // + e -- + 3*x + cot\x *sin(x)/ / / 2\ / / 3\\ 3\ x*log\4 + x / + cos\cos\x // + e -- + 3*x + cot\x *sin(x)/ / / 2\ / / 3\\ 3\ /1 5 / 2 \\ /1 5 / 2 \\ /1 5 / 2 \\ x*log\4 + x / + cos\cos\x // + e |-- + 3*x + cot\x *sin(x)/|*\x*log\4 + x / + cos\cos\x // + e / -- + 3*x + cot\x *sin(x)/ |-- + 3*x + cot\x *sin(x)/|*\x*log\4 + x / + cos\cos\x // + e / |
213/ 2 | \x*log\4 + x / + cos\cos\x // + e / \4 + x / \4 + x / 2 2 2 \x*log\4 + x / + cos\cos\x // + e / 2 \x*log\4 + x / + cos\cos\x // + e / |-- + 3*x + cot\x *sin(x)/| |-- + 3*x + cot\x *sin(x)/| |-- + 3*x + cot\x *sin(x)/| | 2 | 2 | 2 | |
\/ x | x x x x | 2 | | 2 | | 2 | \x / x \x / |
\ \x / \x / \x / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ / 2\ / / 3\\ 3\
9663597*\x*log\4 + x / + cos\cos\x // + e /
$$\frac{\sqrt[213]{\frac{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}}} \left(- 1224963 x^{6} \sin^{3}{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} - 1224963 x^{6} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} - 3674889 x^{6} \sin{\left(x^{3} \right)} \cos{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + \frac{725904 x^{4}}{\left(x^{2} + 4\right)^{3}} - 2449926 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 2449926 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{1088856 x^{2}}{\left(x^{2} + 4\right)^{2}} + \frac{136107 x \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(- 9 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 9 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + 6 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{6}{x^{2} + 4}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{45369 x \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right) \left(- 9 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 9 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + 6 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{6}{x^{2} + 4}\right)}{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}} + \frac{272214 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right)^{3} \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{3}} + \frac{272214 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right)^{2} \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{2}} - \frac{90738 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \left(- 9 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 9 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + 6 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{6}{x^{2} + 4}\right) + \frac{2 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right)^{2} \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{2}} + \frac{2 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{\left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right) \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \frac{90738 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)} - \frac{639 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)^{2}}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)} - \frac{272214 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right) \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{2}} + 272214 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} - \frac{90738 \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right) \left(x \left(- 9 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 9 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + 6 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{6}{x^{2} + 4}\right) + \frac{2 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right)^{2} \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{2}} + \frac{2 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{\left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right) \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}}\right)}{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}} + \frac{639 \left(x \left(- 9 x^{3} \sin^{2}{\left(x^{3} \right)} \cos{\left(\cos{\left(x^{3} \right)} \right)} + 9 x^{3} \sin{\left(\cos{\left(x^{3} \right)} \right)} \cos{\left(x^{3} \right)} - \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + 6 \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{6}{x^{2} + 4}\right) + \frac{2 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right)^{2} \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{\left(3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}\right)^{2}} + \frac{2 \left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{\left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right) \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)}{x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}} + \frac{90738 \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right)^{2} \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)}{\left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)^{2}} - \frac{639 \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)^{2}}{\left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)^{2}} + \frac{\left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)^{3}}{\left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)^{2}} - \frac{45369 \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right) \left(- 2 x^{3} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{3} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right)^{2} - 4 x^{3} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{3} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 180 x^{2} + 6 x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(x^{2} \cos{\left(x \right)} + 6 x \sin{\left(x \right)} - 6 \cos{\left(x \right)}\right) - \frac{24}{x^{5}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} - \frac{136107 \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \log{\left(x^{2} + 4 \right)}\right) \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \frac{45369 \left(60 x^{3} + 2 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right)^{2} \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \cot{\left(x^{2} \sin{\left(x \right)} \right)} - \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{6}{x^{4}}\right) \left(3 x^{2} \sin{\left(x^{3} \right)} \sin{\left(\cos{\left(x^{3} \right)} \right)} + \frac{2 x^{2}}{x^{2} + 4} + \frac{\left(- 15 x^{4} + x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\cot^{2}{\left(x^{2} \sin{\left(x \right)} \right)} + 1\right) + \frac{2}{x^{3}}\right) \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \log{\left(x^{2} + 4 \right)}\right)}{3 x^{5} + \cot{\left(x^{2} \sin{\left(x \right)} \right)} + \frac{1}{x^{2}}} + \frac{272214}{x^{2} + 4}\right)}{9663597 \left(x \log{\left(x^{2} + 4 \right)} + \cos{\left(\cos{\left(x^{3} \right)} \right)} + e^{3}\right)}$$
Gráfico