Mister Exam

Other calculators


pi*d^2/4

Derivative of pi*d^2/4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
    2
pi*d 
-----
  4  
πd24\frac{\pi d^{2}}{4}
(pi*d^2)/4
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: d2d^{2} goes to 2d2 d

      So, the result is: 2πd2 \pi d

    So, the result is: πd2\frac{\pi d}{2}


The answer is:

πd2\frac{\pi d}{2}

The graph
02468-8-6-4-2-1010-100100
The first derivative [src]
pi*d
----
 2  
πd2\frac{\pi d}{2}
The second derivative [src]
pi
--
2 
π2\frac{\pi}{2}
The third derivative [src]
0
00
The graph
Derivative of pi*d^2/4