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- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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- Derivada de:
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Derivada de -4*e^(4*t)+3*log(4*t)
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Derivada de 3/x²
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Derivada de 4*tan(2*t)-3*cot(2*t)
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Derivada de -3*x*cos(x)
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Expresiones idénticas
- x*exp((dos tg(dos x)^ dos + dos)/(x^ tres +x^ dos + uno)-(dos x+ tres x^2)tg(2x)/(uno +x^2+x^3)^2-x)
- x multiplicar por exponente de ((2tg(2x) al cuadrado más 2) dividir por (x al cubo más x al cuadrado más 1) menos (2x más 3x al cuadrado )tg(2x) dividir por (1 más x al cuadrado más x al cubo ) al cuadrado menos x)
- x multiplicar por exponente de ((dos tg(dos x) en el grado dos más dos) dividir por (x en el grado tres más x en el grado dos más uno) menos (dos x más tres x al cuadrado )tg(2x) dividir por (uno más x al cuadrado más x al cubo ) al cuadrado menos x)
- x*exp((2tg(2x)2+2)/(x3+x2+1)-(2x+3x2)tg(2x)/(1+x2+x3)2-x)
- x*exp2tg2x2+2/x3+x2+1-2x+3x2tg2x/1+x2+x32-x
- x*exp((2tg(2x)²+2)/(x³+x²+1)-(2x+3x²)tg(2x)/(1+x²+x³)²-x)
- x*exp((2tg(2x) en el grado 2+2)/(x en el grado 3+x en el grado 2+1)-(2x+3x en el grado 2)tg(2x)/(1+x en el grado 2+x en el grado 3) en el grado 2-x)
- xexp((2tg(2x)^2+2)/(x^3+x^2+1)-(2x+3x^2)tg(2x)/(1+x^2+x^3)^2-x)
- xexp((2tg(2x)2+2)/(x3+x2+1)-(2x+3x2)tg(2x)/(1+x2+x3)2-x)
- xexp2tg2x2+2/x3+x2+1-2x+3x2tg2x/1+x2+x32-x
- xexp2tg2x^2+2/x^3+x^2+1-2x+3x^2tg2x/1+x^2+x^3^2-x
- x*exp((2tg(2x)^2+2) dividir por (x^3+x^2+1)-(2x+3x^2)tg(2x) dividir por (1+x^2+x^3)^2-x)
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Expresiones semejantes
- x*exp((2tg(2x)^2+2)/(x^3+x^2+1)-(2x+3x^2)tg(2x)/(1-x^2+x^3)^2-x)
- x*exp((2tg(2x)^2+2)/(x^3+x^2+1)-(2x+3x^2)tg(2x)/(1+x^2-x^3)^2-x)
- x*exp((2tg(2x)^2-2)/(x^3+x^2+1)-(2x+3x^2)tg(2x)/(1+x^2+x^3)^2-x)
- x*exp((2tg(2x)^2+2)/(x^3+x^2+1)+(2x+3x^2)tg(2x)/(1+x^2+x^3)^2-x)
- x*exp((2tg(2x)^2+2)/(x^3+x^2-1)-(2x+3x^2)tg(2x)/(1+x^2+x^3)^2-x)
- x*exp((2tg(2x)^2+2)/(x^3+x^2+1)-(2x+3x^2)tg(2x)/(1+x^2+x^3)^2+x)
- x*exp((2tg(2x)^2+2)/(x^3+x^2+1)-(2x-3x^2)tg(2x)/(1+x^2+x^3)^2-x)
- x*exp((2tg(2x)^2+2)/(x^3-x^2+1)-(2x+3x^2)tg(2x)/(1+x^2+x^3)^2-x)
Derivada de x*exp((2tg(2x)^2+2)/(x^3+x^2+1)-(2x+3x^2)tg(2x)/(1+x^2+x^3)^2-x)
Solución
Ha introducido
[src]
2 / 2\
2*tan (2*x) + 2 \2*x + 3*x /*tan(2*x)
--------------- - --------------------- - x
3 2 2
x + x + 1 / 2 3\
\1 + x + x /
x*e
$$x e^{- x + \left(- \frac{\left(3 x^{2} + 2 x\right) \tan{\left(2 x \right)}}{\left(x^{3} + \left(x^{2} + 1\right)\right)^{2}} + \frac{2 \tan^{2}{\left(2 x \right)} + 2}{\left(x^{3} + x^{2}\right) + 1}\right)}$$
x*exp((2*tan(2*x)^2 + 2)/(x^3 + x^2 + 1) - (2*x + 3*x^2)*tan(2*x)/(1 + x^2 + x^3)^2 - x)
Primera derivada
[src]
2 / 2\ 2 / 2\
2*tan (2*x) + 2 \2*x + 3*x /*tan(2*x) 2*tan (2*x) + 2 \2*x + 3*x /*tan(2*x)
--------------- - --------------------- - x --------------- - --------------------- - x
3 2 2 3 2 2
/ / 2 \ / 2\ / 2 \ / 2 \ / 2 \ / 2\ / 2\ \ x + x + 1 / 2 3\ x + x + 1 / 2 3\
| - \2 + 2*tan (2*x)/*\2*x + 3*x / - (2 + 6*x)*tan(2*x) \- 3*x - 2*x/*\2*tan (2*x) + 2/ 2*\4 + 4*tan (2*x)/*tan(2*x) \2*x + 3*x /*\4*x + 6*x /*tan(2*x)| \1 + x + x / \1 + x + x /
x*|-1 + ----------------------------------------------------- + -------------------------------- + ---------------------------- + ----------------------------------|*e + e
| 2 2 3 2 3 |
| / 2 3\ / 3 2 \ x + x + 1 / 2 3\ |
\ \1 + x + x / \x + x + 1/ \1 + x + x / /
$$x \left(\frac{\left(- 3 x^{2} - 2 x\right) \left(2 \tan^{2}{\left(2 x \right)} + 2\right)}{\left(\left(x^{3} + x^{2}\right) + 1\right)^{2}} + \frac{\left(3 x^{2} + 2 x\right) \left(6 x^{2} + 4 x\right) \tan{\left(2 x \right)}}{\left(x^{3} + \left(x^{2} + 1\right)\right)^{3}} - 1 + \frac{2 \left(4 \tan^{2}{\left(2 x \right)} + 4\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2}\right) + 1} + \frac{- \left(6 x + 2\right) \tan{\left(2 x \right)} - \left(3 x^{2} + 2 x\right) \left(2 \tan^{2}{\left(2 x \right)} + 2\right)}{\left(x^{3} + \left(x^{2} + 1\right)\right)^{2}}\right) e^{- x + \left(- \frac{\left(3 x^{2} + 2 x\right) \tan{\left(2 x \right)}}{\left(x^{3} + \left(x^{2} + 1\right)\right)^{2}} + \frac{2 \tan^{2}{\left(2 x \right)} + 2}{\left(x^{3} + x^{2}\right) + 1}\right)} + e^{- x + \left(- \frac{\left(3 x^{2} + 2 x\right) \tan{\left(2 x \right)}}{\left(x^{3} + \left(x^{2} + 1\right)\right)^{2}} + \frac{2 \tan^{2}{\left(2 x \right)} + 2}{\left(x^{3} + x^{2}\right) + 1}\right)}$$
Segunda derivada
[src]
/ / / 2 / 2 \ / 2 \ / 2 \ 3 3 / / 2 \ \ 2 2 / 2 \ / 2 \ \\ \ / 2 \ | | | / 2 \ 3*tan(2*x) + 4*\1 + tan (2*x)/*(1 + 3*x) + 4*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x) 2 / 2 \ 2*\1 + tan (2*x)/*(1 + 3*x) 3*x *(2 + 3*x) *tan(2*x) 2*x*(2 + 3*x)*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 4*x *(2 + 3*x) *\1 + tan (2*x)/ 8*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x) 4*x*(1 + 3*x)*(2 + 3*x)*tan(2*x)|| | 2*\1 + tan (2*x)/ x*(2 + 3*x)*tan(2*x) | | 2*|8*\1 + tan (2*x)/ - --------------------------------------------------------------------------------- + 16*tan (2*x)*\1 + tan (2*x)/ - --------------------------- - ------------------------ + ---------------------------------------------------------------- + ------------------------------- - -------------------------------------- + --------------------------------|| | -x + ----------------- - -------------------- | | 2 | 2 3 2 3 3 2 2 2 3 2 || | 2 3 2 | |/ / / 2 \ \ / 2 \ 2 2 / 2 \ \ | 1 + x + x 1 + x + x / 2 3\ / 2 3\ / 2 3\ 1 + x + x / 2 3\ || / / 2 \ \ / 2 \ / 2 \ 2 2 | 1 + x + x / 2 3\ | || 2*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 8*\1 + tan (2*x)/*tan(2*x) 2*x *(2 + 3*x) *tan(2*x) 2*x*\1 + tan (2*x)/*(2 + 3*x)| \ \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / /| 4*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 16*\1 + tan (2*x)/*tan(2*x) 4*x*\1 + tan (2*x)/*(2 + 3*x) 4*x *(2 + 3*x) *tan(2*x)| \1 + x + x / |-2 + x*||1 + ---------------------------------------------------- - -------------------------- - ------------------------ + -----------------------------| + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - ---------------------------------------------------- + --------------------------- - ----------------------------- + ------------------------|*e | || 2 2 3 3 2 | 2 3 | 2 2 3 2 3 | | || / 2 3\ 1 + x + x / 2 3\ / 2 3\ | 1 + x + x | / 2 3\ 1 + x + x / 2 3\ / 2 3\ | \ \\ \1 + x + x / \1 + x + x / \1 + x + x / / / \1 + x + x / \1 + x + x / \1 + x + x / /
$$\left(\frac{4 x^{2} \left(3 x + 2\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} - \frac{4 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + x \left(\left(- \frac{2 x^{2} \left(3 x + 2\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{2 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} + 1\right)^{2} + \frac{2 \left(- \frac{3 x^{3} \left(3 x + 2\right)^{3} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{4 x^{2} \left(3 x + 2\right)^{2} \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{4 x \left(3 x + 1\right) \left(3 x + 2\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 x \left(3 x + 2\right) \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} - \frac{2 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{3} + x^{2} + 1} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} + 16 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} - \frac{4 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} + 4 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + 3 \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1}\right)}{x^{3} + x^{2} + 1}\right) - \frac{4 \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{16 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} - 2\right) e^{- \frac{x \left(3 x + 2\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} - x + \frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{3} + x^{2} + 1}}$$
Tercera derivada
[src]
/ / / 2 2 \ \ \ | | | 2 / 2 \ / 2 \ 2 / 2 \ / 2 \ 2 / / 2 \ \ 2 / 2 \ / 2 \ 3 3 / 2 \ 2 2 / / 2 \ \ / / 2 \ / 2 \ \ 4 4 2 / 2 \ 2 2 / 2 \ 2 2 / 2 \ | / / / 2 \ \ / 2 \ 2 2 / 2 \ \ / 2 / 2 \ / 2 \ / 2 \ 3 3 / / 2 \ \ 2 2 / 2 \ / 2 \ \| / 2 / 2 \ / 2 \ / 2 \ 3 3 / / 2 \ \ 2 2 / 2 \ / 2 \ \| / 2 \ | | | 9 + 9*tan (2*x) + 4*x*\1 + tan (2*x)/ *(2 + 3*x) + 12*\1 + tan (2*x)/*(1 + 3*x)*tan(2*x) + 8*x*tan (2*x)*\1 + tan (2*x)/*(2 + 3*x) 3*\1 + tan (2*x)/ 3 / 2 \ / 2 \ 2*(1 + 3*x)*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 4*(1 + 3*x) *tan(2*x) 12*x*\1 + tan (2*x)/ *(2 + 3*x) 12*\1 + tan (2*x)/*(1 + 3*x)*tan(2*x) 9*x *(2 + 3*x) *\1 + tan (2*x)/ 3*x *(2 + 3*x) *\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 2*x*(2 + 3*x)*\3*tan(2*x) + 4*\1 + tan (2*x)/*(1 + 3*x) + 4*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x)/ 6*x*(2 + 3*x)*tan(2*x) 6*x *(2 + 3*x) *tan(2*x) 24*x*tan (2*x)*\1 + tan (2*x)/*(2 + 3*x) 15*x *(2 + 3*x) *(1 + 3*x)*tan(2*x) 14*x*\1 + tan (2*x)/*(1 + 3*x)*(2 + 3*x) 16*x *(2 + 3*x) *\1 + tan (2*x)/*tan(2*x)| | 2*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 8*\1 + tan (2*x)/*tan(2*x) 2*x *(2 + 3*x) *tan(2*x) 2*x*\1 + tan (2*x)/*(2 + 3*x)| | / 2 \ 3*tan(2*x) + 4*\1 + tan (2*x)/*(1 + 3*x) + 4*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x) 2 / 2 \ 2*\1 + tan (2*x)/*(1 + 3*x) 3*x *(2 + 3*x) *tan(2*x) 2*x*(2 + 3*x)*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 4*x *(2 + 3*x) *\1 + tan (2*x)/ 8*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x) 4*x*(1 + 3*x)*(2 + 3*x)*tan(2*x)|| | / 2 \ 3*tan(2*x) + 4*\1 + tan (2*x)/*(1 + 3*x) + 4*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x) 2 / 2 \ 2*\1 + tan (2*x)/*(1 + 3*x) 3*x *(2 + 3*x) *tan(2*x) 2*x*(2 + 3*x)*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 4*x *(2 + 3*x) *\1 + tan (2*x)/ 8*x*\1 + tan (2*x)/*(2 + 3*x)*tan(2*x) 4*x*(1 + 3*x)*(2 + 3*x)*tan(2*x)|| 2*\1 + tan (2*x)/ x*(2 + 3*x)*tan(2*x) | | 4*|- ---------------------------------------------------------------------------------------------------------------------------------- - ----------------- + 32*tan (2*x)*\1 + tan (2*x)/ + 64*\1 + tan (2*x)/ *tan(2*x) + -------------------------------------------------------------- + --------------------- - ------------------------------- - ------------------------------------- - ------------------------------- - ------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------- + ---------------------- + ------------------------ - ---------------------------------------- - ----------------------------------- + ---------------------------------------- + -----------------------------------------| 6*|1 + ---------------------------------------------------- - -------------------------- - ------------------------ + -----------------------------|*|8*\1 + tan (2*x)/ - --------------------------------------------------------------------------------- + 16*tan (2*x)*\1 + tan (2*x)/ - --------------------------- - ------------------------ + ---------------------------------------------------------------- + ------------------------------- - -------------------------------------- + --------------------------------|| 6*|8*\1 + tan (2*x)/ - --------------------------------------------------------------------------------- + 16*tan (2*x)*\1 + tan (2*x)/ - --------------------------- - ------------------------ + ---------------------------------------------------------------- + ------------------------------- - -------------------------------------- + --------------------------------|| -x + ----------------- - -------------------- | 2 | 3 | 2 3 2 3 2 2 2 3 2 3 3 3 2 2 4 2 3 3 2 2 | | 2 2 3 3 2 | | 2 3 2 3 3 2 2 2 3 2 || | 2 3 2 3 3 2 2 2 3 2 || 2 3 2 | / / / 2 \ \ / 2 \ 2 2 / 2 \ \ |/ / / 2 \ \ / 2 \ 2 2 / 2 \ \ | 1 + x + x 1 + x + x / 2 3\ / 2 3\ 1 + x + x 1 + x + x / 2 3\ / 2 3\ / 2 3\ / 2 3\ / 2 3\ 1 + x + x / 2 3\ / 2 3\ / 2 3\ | | / 2 3\ 1 + x + x / 2 3\ / 2 3\ | | 1 + x + x 1 + x + x / 2 3\ / 2 3\ / 2 3\ 1 + x + x / 2 3\ || | 1 + x + x 1 + x + x / 2 3\ / 2 3\ / 2 3\ 1 + x + x / 2 3\ || 1 + x + x / 2 3\ | | 2*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 8*\1 + tan (2*x)/*tan(2*x) 2*x *(2 + 3*x) *tan(2*x) 2*x*\1 + tan (2*x)/*(2 + 3*x)| || 2*\(1 + 3*x)*tan(2*x) + x*\1 + tan (2*x)/*(2 + 3*x)/ 8*\1 + tan (2*x)/*tan(2*x) 2*x *(2 + 3*x) *tan(2*x) 2*x*\1 + tan (2*x)/*(2 + 3*x)| \ \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / / \ \1 + x + x / \1 + x + x / \1 + x + x / / \ \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / /| \ \1 + x + x / \1 + x + x / \1 + x + x / \1 + x + x / /| \1 + x + x / |3*|1 + ---------------------------------------------------- - -------------------------- - ------------------------ + -----------------------------| - x*||1 + ---------------------------------------------------- - -------------------------- - ------------------------ + -----------------------------| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e | | 2 2 3 3 2 | || 2 2 3 3 2 | 2 3 2 3 | 2 3 | | | / 2 3\ 1 + x + x / 2 3\ / 2 3\ | || / 2 3\ 1 + x + x / 2 3\ / 2 3\ | 1 + x + x 1 + x + x | 1 + x + x | \ \ \1 + x + x / \1 + x + x / \1 + x + x / / \\ \1 + x + x / \1 + x + x / \1 + x + x / / / /
$$\left(- x \left(\left(- \frac{2 x^{2} \left(3 x + 2\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{2 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} + 1\right)^{3} + \frac{6 \left(- \frac{2 x^{2} \left(3 x + 2\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{2 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} + 1\right) \left(- \frac{3 x^{3} \left(3 x + 2\right)^{3} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{4 x^{2} \left(3 x + 2\right)^{2} \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{4 x \left(3 x + 1\right) \left(3 x + 2\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 x \left(3 x + 2\right) \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} - \frac{2 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{3} + x^{2} + 1} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} + 16 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} - \frac{4 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} + 4 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + 3 \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1}\right)}{x^{3} + x^{2} + 1} - \frac{4 \left(\frac{6 x^{4} \left(3 x + 2\right)^{4} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{4}} - \frac{9 x^{3} \left(3 x + 2\right)^{3} \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{3}} - \frac{15 x^{2} \left(3 x + 1\right) \left(3 x + 2\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} - \frac{3 x^{2} \left(3 x + 2\right)^{2} \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{16 x^{2} \left(3 x + 2\right)^{2} \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{14 x \left(3 x + 1\right) \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{12 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2}}{x^{3} + x^{2} + 1} - \frac{24 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)}}{x^{3} + x^{2} + 1} + \frac{2 x \left(3 x + 2\right) \left(4 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} + 4 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + 3 \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{6 x \left(3 x + 2\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{4 \left(3 x + 1\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 \left(3 x + 1\right) \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{12 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} + 64 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \tan{\left(2 x \right)} + 32 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{3}{\left(2 x \right)} - \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{3} + x^{2} + 1} - \frac{4 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} + 8 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} + 12 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} + 9 \tan^{2}{\left(2 x \right)} + 9}{x^{3} + x^{2} + 1}\right)}{x^{3} + x^{2} + 1}\right) + 3 \left(- \frac{2 x^{2} \left(3 x + 2\right)^{2} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{2 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} + 1\right)^{2} + \frac{6 \left(- \frac{3 x^{3} \left(3 x + 2\right)^{3} \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{3}} + \frac{4 x^{2} \left(3 x + 2\right)^{2} \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{4 x \left(3 x + 1\right) \left(3 x + 2\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} + \frac{2 x \left(3 x + 2\right) \left(x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + \left(3 x + 1\right) \tan{\left(2 x \right)}\right)}{\left(x^{3} + x^{2} + 1\right)^{2}} - \frac{8 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1} - \frac{2 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{3} + x^{2} + 1} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} + 16 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} - \frac{4 x \left(3 x + 2\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} + 4 \left(3 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) + 3 \tan{\left(2 x \right)}}{x^{3} + x^{2} + 1}\right)}{x^{3} + x^{2} + 1}\right) e^{- \frac{x \left(3 x + 2\right) \tan{\left(2 x \right)}}{\left(x^{3} + x^{2} + 1\right)^{2}} - x + \frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{3} + x^{2} + 1}}$$
Gráfico