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arccos(sqrt(x))
The derivative of the function/ arccos(sqrt(x))

Derivative of arccos(sqrt(x))

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

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The solution

You have entered [src] 
    /  ___\
acos\\/ x /
acos⁡(x)\operatorname{acos}{\left(\sqrt{x} \right)} 
d /    /  ___\\
--\acos\\/ x //
dx
ddxacos⁡(x)\frac{d}{d x} \operatorname{acos}{\left(\sqrt{x} \right)}
Transform
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       -1        
-----------------
    ___   _______
2*\/ x *\/ 1 - x
−12x−x+1- \frac{1}{2 \sqrt{x} \sqrt{- x + 1}}
Simplify
The second derivative [src] 
    1     1      
    - - -----    
    x   1 - x    
-----------------
    ___   _______
4*\/ x *\/ 1 - x
−1−x+1+1x4x−x+1\frac{- \frac{1}{- x + 1} + \frac{1}{x}}{4 \sqrt{x} \sqrt{- x + 1}}
Simplify
The third derivative [src] 
  3       3           2    
- -- - -------- + ---------
   2          2   x*(1 - x)
  x    (1 - x)             
---------------------------
         ___   _______     
     8*\/ x *\/ 1 - x
−3(−x+1)2+2x(−x+1)−3x28x−x+1\frac{- \frac{3}{\left(- x + 1\right)^{2}} + \frac{2}{x \left(- x + 1\right)} - \frac{3}{x^{2}}}{8 \sqrt{x} \sqrt{- x + 1}}
Simplify
The graph
Derivative of arccos(sqrt(x))
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