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The derivative of the function/ y=2*arctg(x)+lnx^3

Derivative of y=2*arctg(x)+lnx^3

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

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The solution

You have entered [src] 
               3   
2*atan(x) + log (x)
$$\log{\left(x \right)}^{3} + 2 \operatorname{atan}{\left(x \right)}$$ 
2*atan(x) + log(x)^3
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
              2   
  2      3*log (x)
------ + ---------
     2       x    
1 + x
$$\frac{2}{x^{2} + 1} + \frac{3 \log{\left(x \right)}^{2}}{x}$$
Simplify
The second derivative [src] 
                   2              
     4*x      3*log (x)   6*log(x)
- --------- - --------- + --------
          2        2          2   
  /     2\        x          x    
  \1 + x /
$$- \frac{4 x}{\left(x^{2} + 1\right)^{2}} - \frac{3 \log{\left(x \right)}^{2}}{x^{2}} + \frac{6 \log{\left(x \right)}}{x^{2}}$$
Simplify
The third derivative [src] 
  /                                   2            2  \
  |      2       3    9*log(x)   3*log (x)      8*x   |
2*|- --------- + -- - -------- + --------- + ---------|
  |          2    3       3           3              3|
  |  /     2\    x       x           x       /     2\ |
  \  \1 + x /                                \1 + x / /
$$2 \left(\frac{8 x^{2}}{\left(x^{2} + 1\right)^{3}} - \frac{2}{\left(x^{2} + 1\right)^{2}} + \frac{3 \log{\left(x \right)}^{2}}{x^{3}} - \frac{9 \log{\left(x \right)}}{x^{3}} + \frac{3}{x^{3}}\right)$$
Simplify
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