Mister Exam

Derivative of 2y^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2
2*y 
2y22 y^{2}
d /   2\
--\2*y /
dy      
ddy2y2\frac{d}{d y} 2 y^{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: y2y^{2} goes to 2y2 y

    So, the result is: 4y4 y


The answer is:

4y4 y

The graph
02468-8-6-4-2-1010-250250
The first derivative [src]
4*y
4y4 y
The second derivative [src]
4
44
The third derivative [src]
0
00
The graph
Derivative of 2y^2