Mister Exam

Derivative of asinx

Function f() - derivative -N order at the point
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The graph:

from to

Piecewise:

The solution

You have entered [src]
asin(x)
asin(x)\operatorname{asin}{\left(x \right)}
d          
--(asin(x))
dx         
ddxasin(x)\frac{d}{d x} \operatorname{asin}{\left(x \right)}
The graph
02468-8-6-4-2-10105-5
The first derivative [src]
     1     
-----------
   ________
  /      2 
\/  1 - x  
1x2+1\frac{1}{\sqrt{- x^{2} + 1}}
The second derivative [src]
     x     
-----------
        3/2
/     2\   
\1 - x /   
x(x2+1)32\frac{x}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}
The third derivative [src]
         2 
      3*x  
 1 + ------
          2
     1 - x 
-----------
        3/2
/     2\   
\1 - x /   
3x2x2+1+1(x2+1)32\frac{\frac{3 x^{2}}{- x^{2} + 1} + 1}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}
The graph
Derivative of asinx