Mister Exam

Derivative of 2asinx

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

from to

Piecewise:

The solution

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