Mister Exam

Other calculators

pi-arctg(x*3)
The derivative of the function/ pi-arctg(x*3)

Derivative of pi-arctg(x*3)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
pi - atan(x*3)
$$\pi - \operatorname{atan}{\left(x 3 \right)}$$ 
d                 
--(pi - atan(x*3))
dx
$$\frac{d}{d x} \left(\pi - \operatorname{atan}{\left(x 3 \right)}\right)$$
Transform
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  -3    
--------
       2
1 + 9*x
$$- \frac{3}{9 x^{2} + 1}$$
Simplify
The second derivative [src] 
    54*x   
-----------
          2
/       2\ 
\1 + 9*x /
$$\frac{54 x}{\left(9 x^{2} + 1\right)^{2}}$$
Simplify
The third derivative [src] 
   /         2  \
   |     36*x   |
54*|1 - --------|
   |           2|
   \    1 + 9*x /
-----------------
             2   
   /       2\    
   \1 + 9*x /
$$\frac{54 \left(- \frac{36 x^{2}}{9 x^{2} + 1} + 1\right)}{\left(9 x^{2} + 1\right)^{2}}$$
Simplify
The graph
Derivative of pi-arctg(x*3)
    © Mister Exam – Calculator