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arccos(1-2x)
The derivative of the function/ arccos(1-2x)

Derivative of arccos(1-2x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
acos(1 - 2*x)
$$\operatorname{acos}{\left(1 - 2 x \right)}$$ 
acos(1 - 2*x)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         2         
-------------------
   ________________
  /              2 
\/  1 - (1 - 2*x)
$$\frac{2}{\sqrt{1 - \left(1 - 2 x\right)^{2}}}$$
Simplify
The second derivative [src] 
    4*(-1 + 2*x)   
-------------------
                3/2
/             2\   
\1 - (1 - 2*x) /
$$\frac{4 \left(2 x - 1\right)}{\left(1 - \left(1 - 2 x\right)^{2}\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
  /                2 \
  |    3*(-1 + 2*x)  |
8*|1 + --------------|
  |                 2|
  \    1 - (1 - 2*x) /
----------------------
                 3/2  
 /             2\     
 \1 - (1 - 2*x) /
$$\frac{8 \left(1 + \frac{3 \left(2 x - 1\right)^{2}}{1 - \left(1 - 2 x\right)^{2}}\right)}{\left(1 - \left(1 - 2 x\right)^{2}\right)^{\frac{3}{2}}}$$
Simplify
The graph
Derivative of arccos(1-2x)
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