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arccos(3x)
The derivative of the function/ arccos(3x)

Derivative of arccos(3x)

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

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The solution

You have entered [src] 
acos(3*x)
$$\operatorname{acos}{\left(3 x \right)}$$ 
d            
--(acos(3*x))
dx
$$\frac{d}{d x} \operatorname{acos}{\left(3 x \right)}$$
Transform
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     -3      
-------------
   __________
  /        2 
\/  1 - 9*x
$$- \frac{3}{\sqrt{- 9 x^{2} + 1}}$$
Simplify
The second derivative [src] 
    -27*x    
-------------
          3/2
/       2\   
\1 - 9*x /
$$- \frac{27 x}{\left(- 9 x^{2} + 1\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
    /         2  \
    |     27*x   |
-27*|1 + --------|
    |           2|
    \    1 - 9*x /
------------------
            3/2   
  /       2\      
  \1 - 9*x /
$$- \frac{27 \cdot \left(\frac{27 x^{2}}{- 9 x^{2} + 1} + 1\right)}{\left(- 9 x^{2} + 1\right)^{\frac{3}{2}}}$$
Simplify
The graph
Derivative of arccos(3x)
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