Mister Exam

Derivative of arccos(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
acos(x)
acos(x)\operatorname{acos}{\left(x \right)}
acos(x)
The graph
02468-8-6-4-2-10105-5
The first derivative [src]
    -1     
-----------
   ________
  /      2 
\/  1 - x  
11x2- \frac{1}{\sqrt{1 - x^{2}}}
The second derivative [src]
    -x     
-----------
        3/2
/     2\   
\1 - x /   
x(1x2)32- \frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
The third derivative [src]
 /        2 \ 
 |     3*x  | 
-|1 + ------| 
 |         2| 
 \    1 - x / 
--------------
         3/2  
 /     2\     
 \1 - x /     
3x21x2+1(1x2)32- \frac{\frac{3 x^{2}}{1 - x^{2}} + 1}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
The graph
Derivative of arccos(x)