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y=tg6x*arcsinxx*exp(-x)
Derivada de la función/ x*exp/ y=tg6x/ arcsin/ exp(-x)/ y=tg6x*arcsinxx*exp(-x)

Derivada de y=tg6x*arcsinxx*exp(-x)

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
                    -x
tan(6*x)*asin(x)*x*e
xtan⁡(6x)asin⁡(x)e−xx \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} e^{- x} 
((tan(6*x)*asin(x))*x)*exp(-x)
Gráfica
02468-8-6-4-2-1010-5050
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Primera derivada [src] 
/  /  tan(6*x)    /         2     \        \                   \  -x              -x         
|x*|----------- + \6 + 6*tan (6*x)/*asin(x)| + tan(6*x)*asin(x)|*e   - x*asin(x)*e  *tan(6*x)
|  |   ________                            |                   |                             
|  |  /      2                             |                   |                             
\  \\/  1 - x                              /                   /
−xe−xtan⁡(6x)asin⁡(x)+(x((6tan⁡2(6x)+6)asin⁡(x)+tan⁡(6x)1−x2)+tan⁡(6x)asin⁡(x))e−x- x e^{- x} \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \left(x \left(\left(6 \tan^{2}{\left(6 x \right)} + 6\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) + \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)}\right) e^{- x}
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Segunda derivada [src] 
/  /   /       2     \                                                    \                                                                                                                                     \    
|  |12*\1 + tan (6*x)/    x*tan(6*x)      /       2     \                 |       /  tan(6*x)      /       2     \        \                         2*tan(6*x)      /       2     \                             |  -x
|x*|------------------ + ----------- + 72*\1 + tan (6*x)/*asin(x)*tan(6*x)| - 2*x*|----------- + 6*\1 + tan (6*x)/*asin(x)| - 2*asin(x)*tan(6*x) + ----------- + 12*\1 + tan (6*x)/*asin(x) + x*asin(x)*tan(6*x)|*e  
|  |      ________               3/2                                      |       |   ________                            |                           ________                                                  |    
|  |     /      2        /     2\                                         |       |  /      2                             |                          /      2                                                   |    
\  \   \/  1 - x         \1 - x /                                         /       \\/  1 - x                              /                        \/  1 - x                                                    /
(−2x(6(tan⁡2(6x)+1)asin⁡(x)+tan⁡(6x)1−x2)+x(xtan⁡(6x)(1−x2)32+72(tan⁡2(6x)+1)tan⁡(6x)asin⁡(x)+12(tan⁡2(6x)+1)1−x2)+xtan⁡(6x)asin⁡(x)+12(tan⁡2(6x)+1)asin⁡(x)−2tan⁡(6x)asin⁡(x)+2tan⁡(6x)1−x2)e−x\left(- 2 x \left(6 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) + x \left(\frac{x \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 72 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\sqrt{1 - x^{2}}}\right) + x \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + 12 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} - 2 \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{2 \tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) e^{- x}
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Tercera derivada [src] 
/  /  /          2 \                                                                                                               \                                                                                                                                                                                                                                                                                               \    
|  |  |       3*x  |                                                                                                               |                                                                                                                                                                                                                                                                                               |    
|  |  |-1 + -------|*tan(6*x)                                                                                                      |                                                                                                                                                                                                                                                                                               |    
|  |  |           2|                 /       2     \       /       2     \                                                         |                                                  /   /       2     \                                                    \                                                                           /       2     \                                                                           |    
|  |  \     -1 + x /            18*x*\1 + tan (6*x)/   216*\1 + tan (6*x)/*tan(6*x)       /       2     \ /         2     \        |      /       2     \            6*tan(6*x)       |12*\1 + tan (6*x)/    x*tan(6*x)      /       2     \                 |       /  tan(6*x)      /       2     \        \                        36*\1 + tan (6*x)/                        3*x*tan(6*x)       /       2     \                 |  -x
|x*|- ----------------------- + -------------------- + ---------------------------- + 432*\1 + tan (6*x)/*\1 + 3*tan (6*x)/*asin(x)| - 36*\1 + tan (6*x)/*asin(x) - ----------- - 3*x*|------------------ + ----------- + 72*\1 + tan (6*x)/*asin(x)*tan(6*x)| + 3*x*|----------- + 6*\1 + tan (6*x)/*asin(x)| + 3*asin(x)*tan(6*x) + ------------------ - x*asin(x)*tan(6*x) + ------------ + 216*\1 + tan (6*x)/*asin(x)*tan(6*x)|*e  
|  |                3/2                     3/2                   ________                                                         |                                   ________       |      ________               3/2                                      |       |   ________                            |                              ________                                    3/2                                        |    
|  |        /     2\                /     2\                     /      2                                                          |                                  /      2        |     /      2        /     2\                                         |       |  /      2                             |                             /      2                             /     2\                                           |    
\  \        \1 - x /                \1 - x /                   \/  1 - x                                                           /                                \/  1 - x         \   \/  1 - x         \1 - x /                                         /       \\/  1 - x                              /                           \/  1 - x                              \1 - x /                                           /
(3x(6(tan⁡2(6x)+1)asin⁡(x)+tan⁡(6x)1−x2)−3x(xtan⁡(6x)(1−x2)32+72(tan⁡2(6x)+1)tan⁡(6x)asin⁡(x)+12(tan⁡2(6x)+1)1−x2)+x(18x(tan⁡2(6x)+1)(1−x2)32+432(tan⁡2(6x)+1)(3tan⁡2(6x)+1)asin⁡(x)+216(tan⁡2(6x)+1)tan⁡(6x)1−x2−(3x2x2−1−1)tan⁡(6x)(1−x2)32)−xtan⁡(6x)asin⁡(x)+3xtan⁡(6x)(1−x2)32+216(tan⁡2(6x)+1)tan⁡(6x)asin⁡(x)−36(tan⁡2(6x)+1)asin⁡(x)+3tan⁡(6x)asin⁡(x)+36(tan⁡2(6x)+1)1−x2−6tan⁡(6x)1−x2)e−x\left(3 x \left(6 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) - 3 x \left(\frac{x \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 72 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\sqrt{1 - x^{2}}}\right) + x \left(\frac{18 x \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 432 \left(\tan^{2}{\left(6 x \right)} + 1\right) \left(3 \tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{216 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) - x \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{3 x \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 216 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} - 36 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + 3 \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{36 \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\sqrt{1 - x^{2}}} - \frac{6 \tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) e^{- x}
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Gráfico
Derivada de y=tg6x*arcsinxx*exp(-x)
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