Mister Exam

Other calculators


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 /
asin(x2)\operatorname{asin}{\left(x^{2} \right)}
asin(x^2)
The graph
02468-8-6-4-2-10105-5
The first derivative [src]
    2*x    
-----------
   ________
  /      4 
\/  1 - x  
2x1x4\frac{2 x}{\sqrt{1 - x^{4}}}
The second derivative [src]
  /        4 \
  |     2*x  |
2*|1 + ------|
  |         4|
  \    1 - x /
--------------
    ________  
   /      4   
 \/  1 - x    
2(2x41x4+1)1x4\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 /      
4x3(6x41x4+5)(1x4)32\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)