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

Derivative of (arcsen(2x))^2

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

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The solution

You have entered [src] 
    2     
asin (2*x)
$$\operatorname{asin}^{2}{\left(2 x \right)}$$ 
asin(2*x)^2
The graph
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The first derivative [src] 
 4*asin(2*x) 
-------------
   __________
  /        2 
\/  1 - 4*x
$$\frac{4 \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
Simplify
The second derivative [src] 
  /      1       2*x*asin(2*x)\
8*|- --------- + -------------|
  |          2             3/2|
  |  -1 + 4*x    /       2\   |
  \              \1 - 4*x /   /
$$8 \left(\frac{2 x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right)$$
Simplify
The third derivative [src] 
   /                                   2          \
   |  asin(2*x)         6*x        12*x *asin(2*x)|
16*|------------- + ------------ + ---------------|
   |          3/2              2              5/2 |
   |/       2\      /        2\     /       2\    |
   \\1 - 4*x /      \-1 + 4*x /     \1 - 4*x /    /
$$16 \left(\frac{12 x^{2} \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{6 x}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right)$$
Simplify
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