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

You have entered [src] 
acos(2*x - 1)
acos⁡(2x−1)\operatorname{acos}{\left(2 x - 1 \right)} 
d                
--(acos(2*x - 1))
dx
ddxacos⁡(2x−1)\frac{d}{d x} \operatorname{acos}{\left(2 x - 1 \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] 
        -2         
-------------------
   ________________
  /              2 
\/  1 - (2*x - 1)
−2−(2x−1)2+1- \frac{2}{\sqrt{- \left(2 x - 1\right)^{2} + 1}}
Simplify
The second derivative [src] 
   -4*(-1 + 2*x)    
--------------------
                 3/2
/              2\   
\1 - (-1 + 2*x) /
−4⋅(2x−1)(−(2x−1)2+1)32- \frac{4 \cdot \left(2 x - 1\right)}{\left(- \left(2 x - 1\right)^{2} + 1\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) /
−8⋅(3(2x−1)2−(2x−1)2+1+1)(−(2x−1)2+1)32- \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}}}
Simplify
The graph
Derivative of acos(2*x-1)
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