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y=arccos(4x-1)x*exp(-x)
Derivada de la función/ arccos/ x*exp/ exp(-x)/ y=arccos(4x-1)x*exp(-x)

Derivada de y=arccos(4x-1)x*exp(-x)

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

Ha introducido [src] 
                 -x
acos(4*x - 1)*x*e
xacos⁡(4x−1)e−xx \operatorname{acos}{\left(4 x - 1 \right)} e^{- x} 
(acos(4*x - 1)*x)*exp(-x)
Gráfica
02468-8-6-4-2-10102-2
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Primera derivada [src] 
/          4*x                        \  -x                    -x
|- ------------------- + acos(4*x - 1)|*e   - x*acos(4*x - 1)*e  
|     ________________                |                          
|    /              2                 |                          
\  \/  1 - (4*x - 1)                  /
−xe−xacos⁡(4x−1)+(−4x1−(4x−1)2+acos⁡(4x−1))e−x- x e^{- x} \operatorname{acos}{\left(4 x - 1 \right)} + \left(- \frac{4 x}{\sqrt{1 - \left(4 x - 1\right)^{2}}} + \operatorname{acos}{\left(4 x - 1 \right)}\right) e^{- x}
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Segunda derivada [src] 
/                                                                /      2*x*(-1 + 4*x) \\    
|                                                              8*|-1 + ----------------||    
|                                                                |                    2||    
|                                               8*x              \     -1 + (-1 + 4*x) /|  -x
|-2*acos(-1 + 4*x) + x*acos(-1 + 4*x) + -------------------- + -------------------------|*e  
|                                          _________________         _________________  |    
|                                         /               2         /               2   |    
\                                       \/  1 - (-1 + 4*x)        \/  1 - (-1 + 4*x)    /
(xacos⁡(4x−1)+8x1−(4x−1)2−2acos⁡(4x−1)+8(2x(4x−1)(4x−1)2−1−1)1−(4x−1)2)e−x\left(x \operatorname{acos}{\left(4 x - 1 \right)} + \frac{8 x}{\sqrt{1 - \left(4 x - 1\right)^{2}}} - 2 \operatorname{acos}{\left(4 x - 1 \right)} + \frac{8 \left(\frac{2 x \left(4 x - 1\right)}{\left(4 x - 1\right)^{2} - 1} - 1\right)}{\sqrt{1 - \left(4 x - 1\right)^{2}}}\right) e^{- x}
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Tercera derivada [src] 
/                                                                                             /               /                  2  \\\    
|                                         /      2*x*(-1 + 4*x) \                             |               |      3*(-1 + 4*x)   |||    
|                                      24*|-1 + ----------------|                          16*|3 - 12*x + 4*x*|-1 + ----------------|||    
|                                         |                    2|                             |               |                    2|||    
|                                         \     -1 + (-1 + 4*x) /           12*x              \               \     -1 + (-1 + 4*x) //|  -x
|3*acos(-1 + 4*x) - x*acos(-1 + 4*x) - -------------------------- - -------------------- + -------------------------------------------|*e  
|                                            _________________         _________________                                3/2           |    
|                                           /               2         /               2                /              2\              |    
\                                         \/  1 - (-1 + 4*x)        \/  1 - (-1 + 4*x)                 \1 - (-1 + 4*x) /              /
(−xacos⁡(4x−1)−12x1−(4x−1)2+3acos⁡(4x−1)−24(2x(4x−1)(4x−1)2−1−1)1−(4x−1)2+16(4x(3(4x−1)2(4x−1)2−1−1)−12x+3)(1−(4x−1)2)32)e−x\left(- x \operatorname{acos}{\left(4 x - 1 \right)} - \frac{12 x}{\sqrt{1 - \left(4 x - 1\right)^{2}}} + 3 \operatorname{acos}{\left(4 x - 1 \right)} - \frac{24 \left(\frac{2 x \left(4 x - 1\right)}{\left(4 x - 1\right)^{2} - 1} - 1\right)}{\sqrt{1 - \left(4 x - 1\right)^{2}}} + \frac{16 \left(4 x \left(\frac{3 \left(4 x - 1\right)^{2}}{\left(4 x - 1\right)^{2} - 1} - 1\right) - 12 x + 3\right)}{\left(1 - \left(4 x - 1\right)^{2}\right)^{\frac{3}{2}}}\right) e^{- x}
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Gráfico
Derivada de y=arccos(4x-1)x*exp(-x)
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