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atan(5*x)
The derivative of the function/ atan(5*x)

Derivative of atan(5*x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
atan(5*x)
$$\operatorname{atan}{\left(5 x \right)}$$ 
atan(5*x)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    5    
---------
        2
1 + 25*x
$$\frac{5}{25 x^{2} + 1}$$
Simplify
The second derivative [src] 
   -250*x   
------------
           2
/        2\ 
\1 + 25*x /
$$- \frac{250 x}{\left(25 x^{2} + 1\right)^{2}}$$
Simplify
The third derivative [src] 
    /            2 \
    |       100*x  |
250*|-1 + ---------|
    |             2|
    \     1 + 25*x /
--------------------
               2    
    /        2\     
    \1 + 25*x /
$$\frac{250 \left(\frac{100 x^{2}}{25 x^{2} + 1} - 1\right)}{\left(25 x^{2} + 1\right)^{2}}$$
Simplify
The graph
Derivative of atan(5*x)
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