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arccos(3x^2)
The derivative of the function/ arccos(3x^2)

Derivative of arccos(3x^2)

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

The graph:

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The solution

You have entered [src] 
    /   2\
acos\3*x /
$$\operatorname{acos}{\left(3 x^{2} \right)}$$ 
d /    /   2\\
--\acos\3*x //
dx
$$\frac{d}{d x} \operatorname{acos}{\left(3 x^{2} \right)}$$
Transform
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     -6*x    
-------------
   __________
  /        4 
\/  1 - 9*x
$$- \frac{6 x}{\sqrt{- 9 x^{4} + 1}}$$
Simplify
The second derivative [src] 
   /         4  \
   |     18*x   |
-6*|1 + --------|
   |           4|
   \    1 - 9*x /
-----------------
     __________  
    /        4   
  \/  1 - 9*x
$$- \frac{6 \cdot \left(\frac{18 x^{4}}{- 9 x^{4} + 1} + 1\right)}{\sqrt{- 9 x^{4} + 1}}$$
Simplify
The third derivative [src] 
        /         4  \
      3 |     54*x   |
-108*x *|5 + --------|
        |           4|
        \    1 - 9*x /
----------------------
              3/2     
    /       4\        
    \1 - 9*x /
$$- \frac{108 x^{3} \cdot \left(\frac{54 x^{4}}{- 9 x^{4} + 1} + 5\right)}{\left(- 9 x^{4} + 1\right)^{\frac{3}{2}}}$$
Simplify
The graph
Derivative of arccos(3x^2)
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