Derivative of arcsin(x)-2x-0.1

You have entered [src]

asin(x) - 2*x - 1/10

$$\left(- 2 x + \operatorname{asin}{\left(x \right)}\right) - \frac{1}{10}$$

asin(x) - 2*x - 1/10

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          1     
-2 + -----------
        ________
       /      2 
     \/  1 - x

$$-2 + \frac{1}{\sqrt{1 - x^{2}}}$$

Simplify

The second derivative [src]

     x     
-----------
        3/2
/     2\   
\1 - x /

$$\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}}$$

Simplify

The third derivative [src]

         2 
      3*x  
 1 + ------
          2
     1 - x 
-----------
        3/2
/     2\   
\1 - x /

$$\frac{\frac{3 x^{2}}{1 - x^{2}} + 1}{\left(1 - x^{2}\right)^{\frac{3}{2}}}$$

Simplify