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x*exparcsin(tgx)(-x)
Derivada de la función/ (tgx)/ x*exp/ arcsin/ x*exparcsin(tgx)(-x)

Derivada de x*exparcsin(tgx)(-x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   asin(tan(x))     
x*e            *(-x)
−xxeasin⁡(tan⁡(x))- x x e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}} 
(x*exp(asin(tan(x))))*(-x)
Gráfica
02468-8-6-4-2-1010-500500
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
    /  /       2   \  asin(tan(x))                \                  
    |x*\1 + tan (x)/*e                asin(tan(x))|      asin(tan(x))
- x*|----------------------------- + e            | - x*e            
    |          _____________                      |                  
    |         /        2                          |                  
    \       \/  1 - tan (x)                       /
−x(x(tan⁡2(x)+1)easin⁡(tan⁡(x))1−tan⁡2(x)+easin⁡(tan⁡(x)))−xeasin⁡(tan⁡(x))- x \left(\frac{x \left(\tan^{2}{\left(x \right)} + 1\right) e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}\right) - x e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}
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Segunda derivada [src] 
 /                    /                     /         2                          /       2   \       \\       /       2   \\              
 |      /       2   \ |       2             |  1 + tan (x)        2*tan(x)       \1 + tan (x)/*tan(x)||   2*x*\1 + tan (x)/|  asin(tan(x))
-|2 + x*\1 + tan (x)/*|---------------- + x*|- ------------ + ---------------- + --------------------|| + -----------------|*e            
 |                    |   _____________     |          2         _____________                  3/2  ||       _____________|              
 |                    |  /        2         |  -1 + tan (x)     /        2         /       2   \     ||      /        2    |              
 \                    \\/  1 - tan (x)      \                 \/  1 - tan (x)      \1 - tan (x)/     //    \/  1 - tan (x) /
−(x(x(−tan⁡2(x)+1tan⁡2(x)−1+2tan⁡(x)1−tan⁡2(x)+(tan⁡2(x)+1)tan⁡(x)(1−tan⁡2(x))32)+21−tan⁡2(x))(tan⁡2(x)+1)+2x(tan⁡2(x)+1)1−tan⁡2(x)+2)easin⁡(tan⁡(x))- \left(x \left(x \left(- \frac{\tan^{2}{\left(x \right)} + 1}{\tan^{2}{\left(x \right)} - 1} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\right) + \frac{2}{\sqrt{1 - \tan^{2}{\left(x \right)}}}\right) \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{2 x \left(\tan^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + 2\right) e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}
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Tercera derivada [src] 
               /                     /  /               2                                                                                 2                          2                                 \                                                              \                                                                 \              
               |                     |  |  /       2   \      /       2   \            2            /       2   \            /       2   \     2        /       2   \                2    /       2   \|     /       2   \                        /       2   \       |       /         2                          /       2   \       \|              
 /       2   \ |       6             |  |2*\1 + tan (x)/    2*\1 + tan (x)/       4*tan (x)       6*\1 + tan (x)/*tan(x)   3*\1 + tan (x)/ *tan (x)   3*\1 + tan (x)/ *tan(x)   6*tan (x)*\1 + tan (x)/|   3*\1 + tan (x)/       6*tan(x)       3*\1 + tan (x)/*tan(x)|       |  1 + tan (x)        2*tan(x)       \1 + tan (x)/*tan(x)||  asin(tan(x))
-\1 + tan (x)/*|---------------- + x*|x*|---------------- + ---------------- + ---------------- - ---------------------- + ------------------------ + ----------------------- + -----------------------| - --------------- + ---------------- + ----------------------| + 3*x*|- ------------ + ---------------- + --------------------||*e            
               |   _____________     |  |             3/2      _____________      _____________                2                            5/2                         2                        3/2   |             2          _____________                   3/2   |       |          2         _____________                  3/2  ||              
               |  /        2         |  |/       2   \        /        2         /        2            -1 + tan (x)            /       2   \              /        2   \            /       2   \      |     -1 + tan (x)      /        2          /       2   \      |       |  -1 + tan (x)     /        2         /       2   \     ||              
               \\/  1 - tan (x)      \  \\1 - tan (x)/      \/  1 - tan (x)    \/  1 - tan (x)                                 \1 - tan (x)/              \-1 + tan (x)/            \1 - tan (x)/      /                     \/  1 - tan (x)       \1 - tan (x)/      /       \                 \/  1 - tan (x)      \1 - tan (x)/     //
−(tan⁡2(x)+1)(3x(−tan⁡2(x)+1tan⁡2(x)−1+2tan⁡(x)1−tan⁡2(x)+(tan⁡2(x)+1)tan⁡(x)(1−tan⁡2(x))32)+x(x(−6(tan⁡2(x)+1)tan⁡(x)tan⁡2(x)−1+3(tan⁡2(x)+1)2tan⁡(x)(tan⁡2(x)−1)2+2(tan⁡2(x)+1)1−tan⁡2(x)+4tan⁡2(x)1−tan⁡2(x)+2(tan⁡2(x)+1)2(1−tan⁡2(x))32+6(tan⁡2(x)+1)tan⁡2(x)(1−tan⁡2(x))32+3(tan⁡2(x)+1)2tan⁡2(x)(1−tan⁡2(x))52)−3(tan⁡2(x)+1)tan⁡2(x)−1+6tan⁡(x)1−tan⁡2(x)+3(tan⁡2(x)+1)tan⁡(x)(1−tan⁡2(x))32)+61−tan⁡2(x))easin⁡(tan⁡(x))- \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 x \left(- \frac{\tan^{2}{\left(x \right)} + 1}{\tan^{2}{\left(x \right)} - 1} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\right) + x \left(x \left(- \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\tan^{2}{\left(x \right)} - 1} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)}}{\left(\tan^{2}{\left(x \right)} - 1\right)^{2}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{4 \tan^{2}{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{2}{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\right) - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)} - 1} + \frac{6 \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\right) + \frac{6}{\sqrt{1 - \tan^{2}{\left(x \right)}}}\right) e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}
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Gráfico
Derivada de x*exparcsin(tgx)(-x)
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