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The derivative of the function/ y=4x^2-ln3x+arcctgx

Derivative of y=4x^2-ln3x+arcctgx

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

The graph:

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The solution

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