Mister Exam

Other calculators

atan(3x-2)
The derivative of the function/ atan(3x-2)

Derivative of atan(3x-2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
atan(3*x - 2)
$$\operatorname{atan}{\left(3 x - 2 \right)}$$ 
d                
--(atan(3*x - 2))
dx
$$\frac{d}{d x} \operatorname{atan}{\left(3 x - 2 \right)}$$
Transform
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      3       
--------------
             2
1 + (3*x - 2)
$$\frac{3}{\left(3 x - 2\right)^{2} + 1}$$
Simplify
The second derivative [src] 
  -18*(-2 + 3*x)  
------------------
                 2
/              2\ 
\1 + (-2 + 3*x) /
$$- \frac{18 \cdot \left(3 x - 2\right)}{\left(\left(3 x - 2\right)^{2} + 1\right)^{2}}$$
Simplify
The third derivative [src] 
   /                  2 \
   |      4*(-2 + 3*x)  |
54*|-1 + ---------------|
   |                   2|
   \     1 + (-2 + 3*x) /
-------------------------
                     2   
    /              2\    
    \1 + (-2 + 3*x) /
$$\frac{54 \cdot \left(\frac{4 \left(3 x - 2\right)^{2}}{\left(3 x - 2\right)^{2} + 1} - 1\right)}{\left(\left(3 x - 2\right)^{2} + 1\right)^{2}}$$
Simplify
The graph
Derivative of atan(3x-2)
    © Mister Exam – Calculator