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acos(2*x-1)

Derivative of acos(2*x-1)

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

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The solution

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acos(2*x - 1)
$$\operatorname{acos}{\left(2 x - 1 \right)}$$
d                
--(acos(2*x - 1))
dx               
$$\frac{d}{d x} \operatorname{acos}{\left(2 x - 1 \right)}$$
The graph
The first derivative [src]
        -2         
-------------------
   ________________
  /              2 
\/  1 - (2*x - 1)  
$$- \frac{2}{\sqrt{- \left(2 x - 1\right)^{2} + 1}}$$
The second derivative [src]
   -4*(-1 + 2*x)    
--------------------
                 3/2
/              2\   
\1 - (-1 + 2*x) /   
$$- \frac{4 \cdot \left(2 x - 1\right)}{\left(- \left(2 x - 1\right)^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative [src]
   /                 2 \
   |     3*(-1 + 2*x)  |
-8*|1 + ---------------|
   |                  2|
   \    1 - (-1 + 2*x) /
------------------------
                   3/2  
  /              2\     
  \1 - (-1 + 2*x) /     
$$- \frac{8 \cdot \left(\frac{3 \left(2 x - 1\right)^{2}}{- \left(2 x - 1\right)^{2} + 1} + 1\right)}{\left(- \left(2 x - 1\right)^{2} + 1\right)^{\frac{3}{2}}}$$
The graph
Derivative of acos(2*x-1)