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arcsin^2(x)
The derivative of the function/ arcsin^2(x)

Derivative of arcsin^2(x)

Function f() - derivative -N order at the point
v

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The solution

You have entered [src] 
    2   
asin (x)
$$\operatorname{asin}^{2}{\left(x \right)}$$
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The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 2*asin(x) 
-----------
   ________
  /      2 
\/  1 - x
$$\frac{2 \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}$$
Simplify
The second derivative [src] 
  /     1       x*asin(x) \
2*|- ------- + -----------|
  |        2           3/2|
  |  -1 + x    /     2\   |
  \            \1 - x /   /
$$2 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1}\right)$$
Simplify
The third derivative [src] 
  /                              2        \
  |  asin(x)        3*x       3*x *asin(x)|
2*|----------- + ---------- + ------------|
  |        3/2            2           5/2 |
  |/     2\      /      2\    /     2\    |
  \\1 - x /      \-1 + x /    \1 - x /    /
$$2 \left(\frac{3 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x}{\left(x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)$$
Simplify
The graph
Derivative of arcsin^2(x)
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