Mister Exam

Derivative of y=3x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2
3*x 
3x23 x^{2}
d /   2\
--\3*x /
dx      
ddx3x2\frac{d}{d x} 3 x^{2}
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: x2x^{2} goes to 2x2 x

    So, the result is: 6x6 x


The answer is:

6x6 x

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
6*x
6x6 x
The second derivative [src]
6
66
The third derivative [src]
0
00
The graph
Derivative of y=3x^2