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Derivada de la función/ sin2x/ cos2x/ x*e^-x/ x*e^-x(acos2x+bsin2x)

Derivada de x*e^-x(acos2x+bsin2x)

Función f() - derivada -er orden en el punto
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Solución

Ha introducido [src] 
   -x                         
x*E  *(acos(2*x) + b*sin(2*x))
e−xx(bsin⁡(2x)+acos⁡(2x))e^{- x} x \left(b \sin{\left(2 x \right)} + \operatorname{acos}{\left(2 x \right)}\right) 
(x*E^(-x))*(acos(2*x) + b*sin(2*x))
Primera derivada [src] 
/ -x      -x\                              /        2                     \  -x
\E   - x*e  /*(acos(2*x) + b*sin(2*x)) + x*|- ------------- + 2*b*cos(2*x)|*e  
                                           |     __________               |    
                                           |    /        2                |    
                                           \  \/  1 - 4*x                 /
x(2bcos⁡(2x)−21−4x2)e−x+(bsin⁡(2x)+acos⁡(2x))(−xe−x+e−x)x \left(2 b \cos{\left(2 x \right)} - \frac{2}{\sqrt{1 - 4 x^{2}}}\right) e^{- x} + \left(b \sin{\left(2 x \right)} + \operatorname{acos}{\left(2 x \right)}\right) \left(- x e^{- x} + e^{- x}\right)
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Segunda derivada [src] 
/                                        /                  2*x     \              /        1                   \\  -x
|(-2 + x)*(b*sin(2*x) + acos(2*x)) - 4*x*|b*sin(2*x) + -------------| - 4*(-1 + x)*|- ------------- + b*cos(2*x)||*e  
|                                        |                       3/2|              |     __________             ||    
|                                        |             /       2\   |              |    /        2              ||    
\                                        \             \1 - 4*x /   /              \  \/  1 - 4*x               //
(−4x(bsin⁡(2x)+2x(1−4x2)32)+(x−2)(bsin⁡(2x)+acos⁡(2x))−4(x−1)(bcos⁡(2x)−11−4x2))e−x\left(- 4 x \left(b \sin{\left(2 x \right)} + \frac{2 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) + \left(x - 2\right) \left(b \sin{\left(2 x \right)} + \operatorname{acos}{\left(2 x \right)}\right) - 4 \left(x - 1\right) \left(b \cos{\left(2 x \right)} - \frac{1}{\sqrt{1 - 4 x^{2}}}\right)\right) e^{- x}
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Tercera derivada [src] 
/                                         /                                     2    \                                                                                       \    
|                                         |      1                          12*x     |              /        1                   \               /                  2*x     \|  -x
|-(-3 + x)*(b*sin(2*x) + acos(2*x)) - 8*x*|------------- + b*cos(2*x) + -------------| + 6*(-2 + x)*|- ------------- + b*cos(2*x)| + 12*(-1 + x)*|b*sin(2*x) + -------------||*e  
|                                         |          3/2                          5/2|              |     __________             |               |                       3/2||    
|                                         |/       2\                   /       2\   |              |    /        2              |               |             /       2\   ||    
\                                         \\1 - 4*x /                   \1 - 4*x /   /              \  \/  1 - 4*x               /               \             \1 - 4*x /   //
(−8x(bcos⁡(2x)+12x2(1−4x2)52+1(1−4x2)32)−(x−3)(bsin⁡(2x)+acos⁡(2x))+6(x−2)(bcos⁡(2x)−11−4x2)+12(x−1)(bsin⁡(2x)+2x(1−4x2)32))e−x\left(- 8 x \left(b \cos{\left(2 x \right)} + \frac{12 x^{2}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{1}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) - \left(x - 3\right) \left(b \sin{\left(2 x \right)} + \operatorname{acos}{\left(2 x \right)}\right) + 6 \left(x - 2\right) \left(b \cos{\left(2 x \right)} - \frac{1}{\sqrt{1 - 4 x^{2}}}\right) + 12 \left(x - 1\right) \left(b \sin{\left(2 x \right)} + \frac{2 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right)\right) e^{- x}
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