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y=2tgx*arcsinx
Derivada de la función/ y=2tg/ arcsin/ y=2tgx*arcsinx

Derivada de y=2tgx*arcsinx

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

Ha introducido [src] 
2*tan(x)*asin(x)
2tan⁡(x)asin⁡(x)2 \tan{\left(x \right)} \operatorname{asin}{\left(x \right)} 
(2*tan(x))*asin(x)
Gráfica
02468-8-6-4-2-1010-2525
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Trazar el gráfico f'(x)
Primera derivada [src] 
/         2   \             2*tan(x) 
\2 + 2*tan (x)/*asin(x) + -----------
                             ________
                            /      2 
                          \/  1 - x
(2tan⁡2(x)+2)asin⁡(x)+2tan⁡(x)1−x2\left(2 \tan^{2}{\left(x \right)} + 2\right) \operatorname{asin}{\left(x \right)} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - x^{2}}}
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Segunda derivada [src] 
  /  /       2   \                                               \
  |2*\1 + tan (x)/     x*tan(x)      /       2   \               |
2*|--------------- + ----------- + 2*\1 + tan (x)/*asin(x)*tan(x)|
  |     ________             3/2                                 |
  |    /      2      /     2\                                    |
  \  \/  1 - x       \1 - x /                                    /
2(xtan⁡(x)(1−x2)32+2(tan⁡2(x)+1)tan⁡(x)asin⁡(x)+2(tan⁡2(x)+1)1−x2)2 \left(\frac{x \tan{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - x^{2}}}\right)
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Tercera derivada [src] 
  /  /          2 \                                                                                              \
  |  |       3*x  |                                                                                              |
  |  |-1 + -------|*tan(x)                                                                                       |
  |  |           2|                                                        /       2   \     /       2   \       |
  |  \     -1 + x /            /       2   \ /         2   \           3*x*\1 + tan (x)/   6*\1 + tan (x)/*tan(x)|
2*|- --------------------- + 2*\1 + tan (x)/*\1 + 3*tan (x)/*asin(x) + ----------------- + ----------------------|
  |               3/2                                                             3/2              ________      |
  |       /     2\                                                        /     2\                /      2       |
  \       \1 - x /                                                        \1 - x /              \/  1 - x        /
2(3x(tan⁡2(x)+1)(1−x2)32+2(tan⁡2(x)+1)(3tan⁡2(x)+1)asin⁡(x)+6(tan⁡2(x)+1)tan⁡(x)1−x2−(3x2x2−1−1)tan⁡(x)(1−x2)32)2 \left(\frac{3 x \left(\tan^{2}{\left(x \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \tan{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)
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Gráfico
Derivada de y=2tgx*arcsinx
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