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asin(x^2)

Derivative of asin(x^2)

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

The graph:

from to

Piecewise:

The solution

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