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y=arcsin^2(2/1-x)

Derivada de y=arcsin^2(2/1-x)

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Solución

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