Derivative of √1-x²+arcsin2x

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  ___    2            
\/ 1  - x  + asin(2*x)

$$\left(- x^{2} + \sqrt{1}\right) + \operatorname{asin}{\left(2 x \right)}$$

sqrt(1) - x^2 + asin(2*x)

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

             2      
-2*x + -------------
          __________
         /        2 
       \/  1 - 4*x

$$- 2 x + \frac{2}{\sqrt{1 - 4 x^{2}}}$$

Simplify

The second derivative [src]

  /          4*x     \
2*|-1 + -------------|
  |               3/2|
  |     /       2\   |
  \     \1 - 4*x /   /

$$2 \left(\frac{4 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - 1\right)$$

Simplify

The third derivative [src]

  /         2  \
  |     12*x   |
8*|1 + --------|
  |           2|
  \    1 - 4*x /
----------------
           3/2  
 /       2\     
 \1 - 4*x /

$$\frac{8 \left(\frac{12 x^{2}}{1 - 4 x^{2}} + 1\right)}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}$$

Simplify