Mister Exam

Other calculators


asin(y^2)

Derivative of asin(y^2)

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

The graph:

from to

Piecewise:

The solution

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