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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

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The solution

You have entered [src] 
atan(5*x)
atan⁡(5x)\operatorname{atan}{\left(5 x \right)} 
atan(5*x)
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    5    
---------
        2
1 + 25*x
525x2+1\frac{5}{25 x^{2} + 1}
Simplify
The second derivative [src] 
   -250*x   
------------
           2
/        2\ 
\1 + 25*x /
−250x(25x2+1)2- \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 /
250(100x225x2+1−1)(25x2+1)2\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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