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y=cos3x*e^x*arccos(x)
Derivada de la función/ cos3x/ x*e^x/ y=cos/ arccos/ cos(x)/ y=cos3x*e^x*arccos(x)

Derivada de y=cos3x*e^x*arccos(x)

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

Ha introducido [src] 
          x        
cos(3*x)*E *acos(x)
excos⁡(3x)acos⁡(x)e^{x} \cos{\left(3 x \right)} \operatorname{acos}{\left(x \right)} 
(cos(3*x)*E^x)*acos(x)
Gráfica
02468-8-6-4-2-1010-1010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                                  x
/          x      x         \           cos(3*x)*e 
\cos(3*x)*e  - 3*e *sin(3*x)/*acos(x) - -----------
                                           ________
                                          /      2 
                                        \/  1 - x
(−3exsin⁡(3x)+excos⁡(3x))acos⁡(x)−excos⁡(3x)1−x2\left(- 3 e^{x} \sin{\left(3 x \right)} + e^{x} \cos{\left(3 x \right)}\right) \operatorname{acos}{\left(x \right)} - \frac{e^{x} \cos{\left(3 x \right)}}{\sqrt{1 - x^{2}}}
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Segunda derivada [src] 
/                                       2*(-cos(3*x) + 3*sin(3*x))    x*cos(3*x)\  x
|-2*(3*sin(3*x) + 4*cos(3*x))*acos(x) + -------------------------- - -----------|*e 
|                                                 ________                   3/2|   
|                                                /      2            /     2\   |   
\                                              \/  1 - x             \1 - x /   /
(−xcos⁡(3x)(1−x2)32−2(3sin⁡(3x)+4cos⁡(3x))acos⁡(x)+2(3sin⁡(3x)−cos⁡(3x))1−x2)ex\left(- \frac{x \cos{\left(3 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 2 \left(3 \sin{\left(3 x \right)} + 4 \cos{\left(3 x \right)}\right) \operatorname{acos}{\left(x \right)} + \frac{2 \left(3 \sin{\left(3 x \right)} - \cos{\left(3 x \right)}\right)}{\sqrt{1 - x^{2}}}\right) e^{x}
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Tercera derivada [src] 
/                                                                      /          2 \                                        \   
|                                                                      |       3*x  |                                        |   
|                                                                      |-1 + -------|*cos(3*x)                               |   
|                                                                      |           2|                                        |   
|                                        6*(3*sin(3*x) + 4*cos(3*x))   \     -1 + x /            3*x*(-cos(3*x) + 3*sin(3*x))|  x
|2*(-13*cos(3*x) + 9*sin(3*x))*acos(x) + --------------------------- + ----------------------- + ----------------------------|*e 
|                                                   ________                         3/2                         3/2         |   
|                                                  /      2                  /     2\                    /     2\            |   
\                                                \/  1 - x                   \1 - x /                    \1 - x /            /
(3x(3sin⁡(3x)−cos⁡(3x))(1−x2)32+2(9sin⁡(3x)−13cos⁡(3x))acos⁡(x)+6(3sin⁡(3x)+4cos⁡(3x))1−x2+(3x2x2−1−1)cos⁡(3x)(1−x2)32)ex\left(\frac{3 x \left(3 \sin{\left(3 x \right)} - \cos{\left(3 x \right)}\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \left(9 \sin{\left(3 x \right)} - 13 \cos{\left(3 x \right)}\right) \operatorname{acos}{\left(x \right)} + \frac{6 \left(3 \sin{\left(3 x \right)} + 4 \cos{\left(3 x \right)}\right)}{\sqrt{1 - x^{2}}} + \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \cos{\left(3 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) e^{x}
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Gráfico
Derivada de y=cos3x*e^x*arccos(x)
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