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arccos(3x+1)
The derivative of the function/ arccos(3x+1)

Derivative of arccos(3x+1)

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

The graph:

from to

Piecewise:

The solution

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