Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
-
¿Cómo usar?
- Derivada de:
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Derivada de x^-(4/5)
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Derivada de x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Expresiones idénticas
- x*exp(-xlog(uno + uno /cos(dos *x))+(cos(x)+cos(tres *x))/(sin(x)+sin(tres *x)))
- x multiplicar por exponente de ( menos x logaritmo de (1 más 1 dividir por coseno de (2 multiplicar por x)) más ( coseno de (x) más coseno de (3 multiplicar por x)) dividir por ( seno de (x) más seno de (3 multiplicar por x)))
- x multiplicar por exponente de ( menos x logaritmo de (uno más uno dividir por coseno de (dos multiplicar por x)) más ( coseno de (x) más coseno de (tres multiplicar por x)) dividir por ( seno de (x) más seno de (tres multiplicar por x)))
- xexp(-xlog(1+1/cos(2x))+(cos(x)+cos(3x))/(sin(x)+sin(3x)))
- xexp-xlog1+1/cos2x+cosx+cos3x/sinx+sin3x
- x*exp(-xlog(1+1 dividir por cos(2*x))+(cos(x)+cos(3*x)) dividir por (sin(x)+sin(3*x)))
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Expresiones semejantes
- x*exp(-xlog(1-1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
- x*exp(-xlog(1+1/cos(2*x))+(cos(x)-cos(3*x))/(sin(x)+sin(3*x)))
- x*exp(-xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)-sin(3*x)))
- x*exp(xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
- x*exp(-xlog(1+1/cos(2*x))-(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
- x*exp(-xlog(1+1/cos(2*x))+(cosx+cos(3*x))/(sinx+sin(3*x)))
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Expresiones con funciones
- xlog
- xlog(x,6)/ctg(x)
- xloga(x)
- xlog6
- xlog(4)*(1/x)
- xlog(4)x
- Coseno cos
- cos^5(2x)*tg(x^6)
- cos(ax)+sin(ax)
- cos(5)^(2)*x
- cos(3*x)*e^sin(x)
- cos(3x)/arccos(x)
- Coseno cos
- cos^5(2x)*tg(x^6)
- cos(ax)+sin(ax)
- cos(5)^(2)*x
- cos(3*x)*e^sin(x)
- cos(3x)/arccos(x)
- Coseno cos
- cos^5(2x)*tg(x^6)
- cos(ax)+sin(ax)
- cos(5)^(2)*x
- cos(3*x)*e^sin(x)
- cos(3x)/arccos(x)
- Seno sin
- sin*x^2
- sin(x)^(6)
- sin(x)^(5*x)
- sin(x+2)
- sin(x^3-x)/(x^3-x)+sin(x^3-x)
- Seno sin
- sin*x^2
- sin(x)^(6)
- sin(x)^(5*x)
- sin(x+2)
- sin(x^3-x)/(x^3-x)+sin(x^3-x)
Derivada de x*exp(-xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
Solución
Ha introducido
[src]
/ 1 \ cos(x) + cos(3*x)
-x*log|1 + --------| + -----------------
\ cos(2*x)/ sin(x) + sin(3*x)
x*e
$$x e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}$$
x*exp((-x)*log(1 + 1/cos(2*x)) + (cos(x) + cos(3*x))/(sin(x) + sin(3*x)))
Primera derivada
[src]
/ 1 \ cos(x) + cos(3*x) / 1 \ cos(x) + cos(3*x)
-x*log|1 + --------| + ----------------- -x*log|1 + --------| + -----------------
/ / 1 \ -sin(x) - 3*sin(3*x) (-cos(x) - 3*cos(3*x))*(cos(x) + cos(3*x)) 2*x*sin(2*x) \ \ cos(2*x)/ sin(x) + sin(3*x) \ cos(2*x)/ sin(x) + sin(3*x)
x*|- log|1 + --------| + -------------------- + ------------------------------------------ - ------------------------|*e + e
| \ cos(2*x)/ sin(x) + sin(3*x) 2 / 1 \ 2 |
| (sin(x) + sin(3*x)) |1 + --------|*cos (2*x)|
\ \ cos(2*x)/ /
$$x \left(- \frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \frac{- \sin{\left(x \right)} - 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} - \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\left(- \cos{\left(x \right)} - 3 \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right) e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}} + e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}$$
Segunda derivada
[src]
cos(x) + cos(3*x) / 1 \ / / 2 2 2 2 \ \ ----------------- - x*log|1 + --------| | / 1 \ |/3*sin(3*x) + sin(x) (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x)) 2*x*sin(2*x) / 1 \\ 9*cos(3*x) + cos(x) (9*sin(3*x) + sin(x))*(cos(x) + cos(3*x)) 4*x 4*sin(2*x) 2*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x)) 2*(3*cos(3*x) + cos(x))*(3*sin(3*x) + sin(x)) 8*x*sin (2*x) 4*x*sin (2*x) | 2*(3*sin(3*x) + sin(x)) 2*(3*cos(3*x) + cos(x))*(cos(x) + cos(3*x)) 4*x*sin(2*x) | sin(x) + sin(3*x) \ cos(2*x)/ |- 2*log|1 + --------| + x*||------------------- + ----------------------------------------- + ------------------------ + log|1 + --------|| - ------------------- + ----------------------------------------- - ----------------------- - ------------------------ + -------------------------------------------- + --------------------------------------------- - ------------------------ + -------------------------| - ----------------------- - ------------------------------------------- - ------------------------|*e | \ cos(2*x)/ || sin(x) + sin(3*x) 2 / 1 \ 2 \ cos(2*x)/| sin(x) + sin(3*x) 2 / 1 \ / 1 \ 2 3 2 / 1 \ 3 2 | sin(x) + sin(3*x) 2 / 1 \ 2 | | || (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) | (sin(x) + sin(3*x)) |1 + --------|*cos(2*x) |1 + --------|*cos (2*x) (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) / 1 \ 4 | (sin(x) + sin(3*x)) |1 + --------|*cos (2*x)| | |\ \ cos(2*x)/ / \ cos(2*x)/ \ cos(2*x)/ \ cos(2*x)/ |1 + --------| *cos (2*x)| \ cos(2*x)/ | \ \ \ cos(2*x)/ / /
$$\left(x \left(- \frac{8 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} - \frac{4 x}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} + \frac{4 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}} + \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right)^{2} - \frac{\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{2 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{\left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{2 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} - \frac{4 \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}}\right) - \frac{4 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} - 2 \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} - \frac{2 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right)}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} - \frac{2 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right) e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}$$
Tercera derivada
[src]
cos(x) + cos(3*x) / 1 \ / 2 / 3 / 2 2 2 \ 2 2 3 2 3 3 3 \ 2 2 2 \ ----------------- - x*log|1 + --------| | /3*sin(3*x) + sin(x) (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x)) 2*x*sin(2*x) / 1 \\ |/3*sin(3*x) + sin(x) (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x)) 2*x*sin(2*x) / 1 \\ 27*sin(3*x) + sin(x) /3*sin(3*x) + sin(x) (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x)) 2*x*sin(2*x) / 1 \\ |9*cos(3*x) + cos(x) (9*sin(3*x) + sin(x))*(cos(x) + cos(3*x)) 2*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x)) 2*(3*cos(3*x) + cos(x))*(3*sin(3*x) + sin(x)) 4*x 4*sin(2*x) 4*x*sin (2*x) 8*x*sin (2*x) | 12 (27*cos(3*x) + cos(x))*(cos(x) + cos(3*x)) 12*sin (2*x) 3*(3*cos(3*x) + cos(x))*(9*cos(3*x) + cos(x)) 3*(3*sin(3*x) + sin(x))*(9*sin(3*x) + sin(x)) 6*(3*cos(3*x) + cos(x)) *(3*sin(3*x) + sin(x)) 6*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x)) 24*sin (2*x) 48*x*sin (2*x) 24*x*sin(2*x) 6*(3*cos(3*x) + cos(x))*(9*sin(3*x) + sin(x))*(cos(x) + cos(3*x)) 16*x*sin (2*x) 40*x*sin(2*x) 48*x*sin (2*x) | 3*(9*cos(3*x) + cos(x)) 12*x 12*sin(2*x) 3*(9*sin(3*x) + sin(x))*(cos(x) + cos(3*x)) 6*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x)) 6*(3*cos(3*x) + cos(x))*(3*sin(3*x) + sin(x)) 24*x*sin (2*x) 12*x*sin (2*x) | sin(x) + sin(3*x) \ cos(2*x)/ |3*|------------------- + ----------------------------------------- + ------------------------ + log|1 + --------|| - x*||------------------- + ----------------------------------------- + ------------------------ + log|1 + --------|| - -------------------- - 3*|------------------- + ----------------------------------------- + ------------------------ + log|1 + --------||*|------------------- - ----------------------------------------- - -------------------------------------------- - --------------------------------------------- + ----------------------- + ------------------------ - ------------------------- + ------------------------| + ----------------------- - ------------------------------------------ - ------------------------- - --------------------------------------------- + --------------------------------------------- + ---------------------------------------------- + -------------------------------------------- + ------------------------ - ------------------------- - ------------------------- + ----------------------------------------------------------------- + ------------------------- + ------------------------ + ------------------------| - ----------------------- - ----------------------- - ------------------------ + ------------------------------------------- + -------------------------------------------- + --------------------------------------------- - ------------------------ + -------------------------|*e | | sin(x) + sin(3*x) 2 / 1 \ 2 \ cos(2*x)/| || sin(x) + sin(3*x) 2 / 1 \ 2 \ cos(2*x)/| sin(x) + sin(3*x) | sin(x) + sin(3*x) 2 / 1 \ 2 \ cos(2*x)/| | sin(x) + sin(3*x) 2 3 2 / 1 \ / 1 \ 2 2 / 1 \ 3 | / 1 \ 2 2 2 2 3 4 / 1 \ 3 2 2 3 3 / 1 \ 2 / 1 \ 4 | sin(x) + sin(3*x) / 1 \ / 1 \ 2 2 3 2 / 1 \ 3 2 | | | (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) | || (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) | | (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) | | (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) |1 + --------|*cos(2*x) |1 + --------|*cos (2*x) / 1 \ 4 |1 + --------|*cos (2*x)| |1 + --------|*cos(2*x) (sin(x) + sin(3*x)) / 1 \ 4 (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) / 1 \ 5 / 1 \ 3 (sin(x) + sin(3*x)) / 1 \ 6 |1 + --------|*cos (2*x) |1 + --------|*cos (2*x)| |1 + --------|*cos(2*x) |1 + --------|*cos (2*x) (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) (sin(x) + sin(3*x)) |1 + --------|*cos (2*x) / 1 \ 4 | | \ \ cos(2*x)/ / |\ \ cos(2*x)/ / \ \ cos(2*x)/ / | \ cos(2*x)/ \ cos(2*x)/ |1 + --------| *cos (2*x) \ cos(2*x)/ | \ cos(2*x)/ |1 + --------| *cos (2*x) \ cos(2*x)/ |1 + --------| *cos (2*x) |1 + --------| *cos (2*x) |1 + --------| *cos (2*x) \ cos(2*x)/ \ cos(2*x)/ | \ cos(2*x)/ \ cos(2*x)/ \ cos(2*x)/ |1 + --------| *cos (2*x)| \ \ \ \ cos(2*x)/ / \ cos(2*x)/ \ cos(2*x)/ \ cos(2*x)/ \ cos(2*x)/ / \ cos(2*x)/ /
$$\left(- x \left(\frac{48 x \sin^{3}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{4}{\left(2 x \right)}} + \frac{40 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} - \frac{48 x \sin^{3}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{5}{\left(2 x \right)}} - \frac{24 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{3}{\left(2 x \right)}} + \frac{16 x \sin^{3}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{3} \cos^{6}{\left(2 x \right)}} + \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right)^{3} - 3 \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right) \left(\frac{8 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} + \frac{4 x}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} - \frac{4 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}} + \frac{\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} - \frac{2 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{\left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{2 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} + \frac{4 \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}}\right) - \frac{\sin{\left(x \right)} + 27 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{3 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 27 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{3 \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{6 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} + \frac{6 \left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} + \frac{6 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{3}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{4}} + \frac{24 \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} + \frac{12}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} - \frac{12 \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}}\right) - \frac{24 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} - \frac{12 x}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} + \frac{12 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}} + 3 \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right)^{2} - \frac{3 \left(\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}\right)}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{6 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{3 \left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{6 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} - \frac{12 \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}}\right) e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}$$
Gráfico