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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)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de 3/2x
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Expresiones idénticas
- x*exp((((((dos x+ uno)^ tres)*(tres ^x)*(sin^ dos (x)))/(((3x-2)^ cuatro)*(x^(cuatro / siete))))^(uno / cinco))*(cinco *(e^x))-x)
- x multiplicar por exponente de ((((((2x más 1) al cubo ) multiplicar por (3 en el grado x) multiplicar por ( seno de al cuadrado (x))) dividir por (((3x menos 2) en el grado 4) multiplicar por (x en el grado (4 dividir por 7)))) en el grado (1 dividir por 5)) multiplicar por (5 multiplicar por (e en el grado x)) menos x)
- x multiplicar por exponente de ((((((dos x más uno) en el grado tres) multiplicar por (tres en el grado x) multiplicar por ( seno de en el grado dos (x))) dividir por (((3x menos 2) en el grado cuatro) multiplicar por (x en el grado (cuatro dividir por siete)))) en el grado (uno dividir por cinco)) multiplicar por (cinco multiplicar por (e en el grado x)) menos x)
- x*exp((((((2x+1)3)*(3x)*(sin2(x)))/(((3x-2)4)*(x(4/7))))(1/5))*(5*(ex))-x)
- x*exp2x+13*3x*sin2x/3x-24*x4/71/5*5*ex-x
- x*exp((((((2x+1)³)*(3^x)*(sin²(x)))/(((3x-2)⁴)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
- x*exp((((((2x+1) en el grado 3)*(3 en el grado x)*(sin en el grado 2(x)))/(((3x-2) en el grado 4)*(x en el grado (4/7)))) en el grado (1/5))*(5*(e en el grado x))-x)
- xexp((((((2x+1)^3)(3^x)(sin^2(x)))/(((3x-2)^4)(x^(4/7))))^(1/5))(5(e^x))-x)
- xexp((((((2x+1)3)(3x)(sin2(x)))/(((3x-2)4)(x(4/7))))(1/5))(5(ex))-x)
- xexp2x+133xsin2x/3x-24x4/71/55ex-x
- xexp2x+1^33^xsin^2x/3x-2^4x^4/7^1/55e^x-x
- x*exp((((((2x+1)^3)*(3^x)*(sin^2(x))) dividir por (((3x-2)^4)*(x^(4 dividir por 7))))^(1 dividir por 5))*(5*(e^x))-x)
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Expresiones semejantes
- x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))+x)
- x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x+2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
- x*exp((((((2x-1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
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Expresiones con funciones
- Seno sin
- sin(x)^4
- sin(x/3+3)+2*x
- sin(x)^sin(x)
- sin(x^3-x)/(x^3-x)+sin(x^3-x)
- sin(x)/(1-x)
Derivada de la función/
x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
Derivada de x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
Solución
Ha introducido
[src]
_______________________
/ 3 x 2
/ (2*x + 1) *3 *sin (x) x
/ --------------------- *5*E - x
5 / 4 4/7
\/ (3*x - 2) *x
x*e
$$x e^{5 e^{x} \sqrt[5]{\frac{3^{x} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} - x}$$
x*exp(((((2*x + 1)^3*3^x)*sin(x)^2)/(((3*x - 2)^4*x^(4/7))))^(1/5)*(5*E^x) - x)
Primera derivada
[src]
/ / / 4\\ \ | | 1 / 2 / x 2 x 3 \ x 3 \ x 3 2 | 4/7 3 4*(3*x - 2) || | | x _________________ |---------------*\sin (x)*\6*3 *(2*x + 1) + 3 *(2*x + 1) *log(3)/ + 2*3 *(2*x + 1) *cos(x)*sin(x)/ 3 *(2*x + 1) *sin (x)*|- 12*x *(3*x - 2) - ------------|| | _______________________ _______________________ | - / 3 | 4/7 4 | 3/7 || | / 3 x 2 / 3 x 2 | -x 4/7 4 5 / (2*x + 1) 2/5 |x *(3*x - 2) \ 7*x /| x| / (2*x + 1) *3 *sin (x) x / (2*x + 1) *3 *sin (x) x | 5*3 *x *(3*x - 2) *3 * / --------------- *|sin(x)| *|-------------------------------------------------------------------------------------------------- + -----------------------------------------------------------|*e | / --------------------- *5*E - x / --------------------- *5*E - x | _______________________________________ 5 / 4/7 4 | 5 8/7 8 | | 5 / 4 4/7 5 / 4 4/7 | / x 3 2 1 x \/ x *(3*x - 2) \ 5*x *(3*x - 2) / | \/ (3*x - 2) *x \/ (3*x - 2) *x x*|-1 + 5* / 3 *(2*x + 1) *sin (x)*--------------- *e + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e + e | 5 / 4/7 4 3 2 | \ \/ x *(3*x - 2) (2*x + 1) *sin (x) /
$$x \left(5 \sqrt[5]{3^{x} \frac{1}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}} e^{x} - 1 + \frac{5 \cdot 3^{- x} x^{\frac{4}{7}} \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} \left(3 x - 2\right)^{4} \left(\frac{3^{x} \left(2 x + 1\right)^{3} \left(- 12 x^{\frac{4}{7}} \left(3 x - 2\right)^{3} - \frac{4 \left(3 x - 2\right)^{4}}{7 x^{\frac{3}{7}}}\right) \sin^{2}{\left(x \right)}}{5 x^{\frac{8}{7}} \left(3 x - 2\right)^{8}} + \frac{\frac{1}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}} \left(2 \cdot 3^{x} \left(2 x + 1\right)^{3} \sin{\left(x \right)} \cos{\left(x \right)} + \left(3^{x} \left(2 x + 1\right)^{3} \log{\left(3 \right)} + 6 \cdot 3^{x} \left(2 x + 1\right)^{2}\right) \sin^{2}{\left(x \right)}\right)}{5}\right) e^{x}}{\left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}\right) e^{5 e^{x} \sqrt[5]{\frac{3^{x} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} - x} + e^{5 e^{x} \sqrt[5]{\frac{3^{x} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} - x}$$
Segunda derivada
[src]
/ / 2 / / / 2 \ \ \ \ \ | | / / / 4/7 -2 + 3*x\ \ \ | / / 4/7 -2 + 3*x\ \ / / 4/7 -2 + 3*x\ \ | 2 / 4/7 -2 + 3*x\ 2 2 | 4/7 (-2 + 3*x) 56*(-2 + 3*x)| 2 2 / 4/7 -2 + 3*x\ 2 2 / 4/7 -2 + 3*x\ 2 / 4/7 -2 + 3*x\ 2 2 / 4/7 -2 + 3*x\ | / / 4/7 -2 + 3*x\ \ / / 4/7 -2 + 3*x\ \ / / 4/7 -2 + 3*x\ \ / / 4/7 -2 + 3*x\ \ / / 4/7 -2 + 3*x\ \| | | | | | x __________________ | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | | / 2/5 / 2*(1 + 2*x) 42*(1 + 2*x)\ \ | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | 168*sin (x)*(1 + 2*x)*|21*x + --------| 12*(1 + 2*x) *sin (x)*|441*x - ----------- + -------------| 32*(1 + 2*x) *sin (x)*|21*x + --------| 672*(1 + 2*x) *sin (x)*|21*x + --------| 56*(1 + 2*x) *|21*x + --------|*cos(x)*sin(x) 28*(1 + 2*x) *sin (x)*|21*x + --------|*log(3)| | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | 4*(1 + 2*x)*|21*x + --------|*sin(x)|| | | | | | - / 3 | | 3/7 | | | | | 2*|sin(x)| *|-21 + ----------- + ------------| | | | 3/7 | | | | 3/7 | | | | 3/7 | | 10/7 3/7 | | 3/7 | | 3/7 | | 3/7 | | 3/7 | | | | 3/7 | | | | 3/7 | | | | 3/7 | | | | 3/7 | | | | 3/7 | || | | | | | 5 / (1 + 2*x) 2/5 | \ x / | x| | | 2/5 \ x -2 + 3*x / 14*cos(x)*sign(sin(x))| | \ x / | 2/5 | \ x / | 2/5 | 2 2 2 / 2 2 \ 2 2 /1 21 \ 2 \ x / \ x x / \ x / \ x / \ x / \ x / | 2/5 | \ x / | 2/5 | \ x / | 2/5 | \ x / | 2/5 | \ x / | 2/5 | \ x / || | / / 4/7 -2 + 3*x\ \ | | | | x __________________ 3 * / ---------------- *|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|*e | x __________________ | |7*|sin(x)| *log(3) - ------------------------------------------------ + ----------------------|*|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------| 210*|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------| 5*|sin(x)| *|- 98*(1 + 2*x) *sin (x) + 49*sin (x)*\24 + (1 + 2*x) *log (3) + 12*(1 + 2*x)*log(3)/ + 98*(1 + 2*x) *cos (x) + 588*(1 + 2*x)*cos(x)*sin(x) - 28*(1 + 2*x)*|- + --------|*((6 + (1 + 2*x)*log(3))*sin(x) + 2*(1 + 2*x)*cos(x))*sin(x) + 98*(1 + 2*x) *cos(x)*log(3)*sin(x) + 98*(1 + 2*x)*(6 + (1 + 2*x)*log(3))*cos(x)*sin(x) - ------------------------------------------ - -------------------------------------------------------------- + ------------------------------------------ + ------------------------------------------- - ------------------------------------------------ - -------------------------------------------------| 35*|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------| 2/5 / /1 21 \ \ 70*|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|*cos(x) 35*|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|*log(3) 20*|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------| 420*|sin(x)| *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|| | x __________________ | 4*(1 + 2*x)*|21*x + --------|*sin(x)| | x __________________ | | | - / 3 5 / 4/7 4 | 4/7 | | - / 3 | | 1 + 2*x 3/5 | | 4/7 | | 4/7 | | \x -2 + 3*x/ 4/7 4/7 2 11/7 4/7 2 4/7 4/7 | | 4/7 | 35*|sin(x)| *|42*sin(x) + 14*(1 + 2*x)*cos(x) - 4*(1 + 2*x)*|- + --------|*sin(x) + 7*(1 + 2*x)*log(3)*sin(x)| | 4/7 | | 4/7 | | 4/7 | | 4/7 || | - / 3 | | 3/7 | | | - / 3 | | | 5 / (1 + 2*x) 2/5 x \/ x *(-2 + 3*x) \ x *(-2 + 3*x) / | 5 / (1 + 2*x) | 2/5 \ |sin(x)| / \ x *(-2 + 3*x) / \ x *(-2 + 3*x) / \ x *(-2 + 3*x) x *(-2 + 3*x) x *(-2 + 3*x) x *(-2 + 3*x) x *(-2 + 3*x) x *(-2 + 3*x) / \ x *(-2 + 3*x) / \ \x -2 + 3*x/ / \ x *(-2 + 3*x) / \ x *(-2 + 3*x) / \ x *(-2 + 3*x) / \ x *(-2 + 3*x) /| x| 5 / (1 + 2*x) 2/5 | \ x / | x| 5 / (1 + 2*x) 2/5 x | x*|5*|-7 + 35*3 * / ---------------- *|sin(x)| *e + --------------------------------------------------------------------------------------------------------------------------------------------| + 3 * / ---------------- *|1225*|sin(x)| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------|*e | x __________________ 2*3 * / ---------------- *|sin(x)| *|-14*(1 + 2*x)*cos(x) - 7*(6 + (1 + 2*x)*log(3))*sin(x) + ---------------------------------------|*e | -x + 5*3 * / ---------------- *|sin(x)| *e | | | 5 / 4/7 4 (1 + 2*x)*sin(x) | 5 / 4/7 4 | (1 + 2*x)*sin(x) 2 2 2 (1 + 2*x)*sin(x) (1 + 2*x)*sin(x) 2 (1 + 2*x)*sin(x) x*(1 + 2*x)*sin(x) (1 + 2*x)*(-2 + 3*x)*sin(x) | | - / 3 5 / 4/7 4 | 4/7 | | 5 / 4/7 4 | \ \ \/ x *(-2 + 3*x) / \/ x *(-2 + 3*x) \ (1 + 2*x) *sin(x) (1 + 2*x) *sin (x) (1 + 2*x)*sin (x) / / 5 / (1 + 2*x) 2/5 x \/ x *(-2 + 3*x) \ x *(-2 + 3*x) / | \/ x *(-2 + 3*x) |-2 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + 10*3 * / ---------------- *|sin(x)| *e - -----------------------------------------------------------------------------------------------------------------------------------------------|*e | 245 5 / 4/7 4 7*(1 + 2*x)*sin(x) | \ \/ x *(-2 + 3*x) /
$$\left(10 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} - \frac{2 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left(- 14 \left(2 x + 1\right) \cos{\left(x \right)} - 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} + \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{7 \left(2 x + 1\right) \sin{\left(x \right)}} + \frac{x \left(3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left(1225 \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} + \frac{\left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left(\frac{14 \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|^{\frac{3}{5}}} + 7 \log{\left(3 \right)} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} - \frac{2 \left(\frac{42 \left(2 x + 1\right)}{3 x - 2} - 21 + \frac{2 \left(2 x + 1\right)}{x}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{2 x + 1}\right)}{\left(2 x + 1\right) \sin{\left(x \right)}} - \frac{35 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \log{\left(3 \right)} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} + \frac{35 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} - \frac{70 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \cos{\left(x \right)} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin^{2}{\left(x \right)}} + \frac{35 \left(- 4 \left(2 x + 1\right) \left(\frac{21}{3 x - 2} + \frac{1}{x}\right) \sin{\left(x \right)} + 7 \left(2 x + 1\right) \log{\left(3 \right)} \sin{\left(x \right)} + 14 \left(2 x + 1\right) \cos{\left(x \right)} + 42 \sin{\left(x \right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} + \frac{420 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \left(3 x - 2\right) \sin{\left(x \right)}} - \frac{210 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right)^{2} \sin{\left(x \right)}} + \frac{5 \left(- 98 \left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)} + 98 \left(2 x + 1\right)^{2} \log{\left(3 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 98 \left(2 x + 1\right)^{2} \cos^{2}{\left(x \right)} + 98 \left(2 x + 1\right) \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} \cos{\left(x \right)} - 28 \left(2 x + 1\right) \left(2 \left(2 x + 1\right) \cos{\left(x \right)} + \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)}\right) \left(\frac{21}{3 x - 2} + \frac{1}{x}\right) \sin{\left(x \right)} + 588 \left(2 x + 1\right) \sin{\left(x \right)} \cos{\left(x \right)} + 49 \left(\left(2 x + 1\right)^{2} \log{\left(3 \right)}^{2} + 12 \left(2 x + 1\right) \log{\left(3 \right)} + 24\right) \sin^{2}{\left(x \right)} - \frac{28 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \log{\left(3 \right)} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)} - \frac{56 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \sin{\left(x \right)} \cos{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)} + \frac{672 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{2}} - \frac{168 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)} - \frac{12 \left(2 x + 1\right)^{2} \left(441 x^{\frac{4}{7}} + \frac{56 \left(3 x - 2\right)}{x^{\frac{3}{7}}} - \frac{\left(3 x - 2\right)^{2}}{x^{\frac{10}{7}}}\right) \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{2}} + \frac{32 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)}}{x^{\frac{11}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)}} + \frac{20 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{x \left(2 x + 1\right) \sin{\left(x \right)}}\right) e^{x} + 5 \left(35 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} + \frac{3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} - 7\right)^{2}\right)}{245} - 2\right) e^{5 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} - x}$$