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y=(arcsinlnx-2/2x)2

Derivada de y=(arcsinlnx-2/2x)2

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

Ha introducido [src]
(asin(x)*log(x) - x)*2
$$2 \left(- x + \log{\left(x \right)} \operatorname{asin}{\left(x \right)}\right)$$
(asin(x)*log(x) - x)*2
Gráfica
Primera derivada [src]
     2*asin(x)     2*log(x) 
-2 + --------- + -----------
         x          ________
                   /      2 
                 \/  1 - x  
$$-2 + \frac{2 \log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x}$$
Segunda derivada [src]
  /  asin(x)         2           x*log(x) \
2*|- ------- + ------------- + -----------|
  |      2          ________           3/2|
  |     x          /      2    /     2\   |
  \            x*\/  1 - x     \1 - x /   /
$$2 \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\right)$$
Tercera derivada [src]
  /                                                            2       \
  |     3           log(x)           3          2*asin(x)   3*x *log(x)|
2*|----------- + ----------- - -------------- + --------- + -----------|
  |        3/2           3/2         ________        3              5/2|
  |/     2\      /     2\       2   /      2        x       /     2\   |
  \\1 - x /      \1 - x /      x *\/  1 - x                 \1 - x /   /
$$2 \left(\frac{3 x^{2} \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x^{3}}\right)$$
Gráfico
Derivada de y=(arcsinlnx-2/2x)2