Mister Exam

Derivative of arcsin(2x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
asin(2*x)
asin(2x)\operatorname{asin}{\left(2 x \right)}
asin(2*x)
The graph
02468-8-6-4-2-10105-5
The first derivative [src]
      2      
-------------
   __________
  /        2 
\/  1 - 4*x  
214x2\frac{2}{\sqrt{1 - 4 x^{2}}}
The second derivative [src]
     8*x     
-------------
          3/2
/       2\   
\1 - 4*x /   
8x(14x2)32\frac{8 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}
The third derivative [src]
  /         2  \
  |     12*x   |
8*|1 + --------|
  |           2|
  \    1 - 4*x /
----------------
           3/2  
 /       2\     
 \1 - 4*x /     
8(12x214x2+1)(14x2)32\frac{8 \left(\frac{12 x^{2}}{1 - 4 x^{2}} + 1\right)}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}
The graph
Derivative of arcsin(2x)