Mister Exam

Derivative of asin(x-1)

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

The graph:

from to

Piecewise:

The solution

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