- #1
StanEvans
- 23
- 0
So to find the x values of the stationary points on the curve:
f(x)=x3+3x2
you make f '(x)=0
so:
3x2+6x=0
x=0 or x=-2
Then to find which of these points are maximum or minimum you do f ''(0) and f ''(-2)
so:
6(0)+6=6
6(-2)+6=-6
so the maximum has an x value of -2 and the minimum has an x value of 0.
My question is does the magnitude of a value from the second derivative have any significance?
and if so what does it show or mean?
f(x)=x3+3x2
you make f '(x)=0
so:
3x2+6x=0
x=0 or x=-2
Then to find which of these points are maximum or minimum you do f ''(0) and f ''(-2)
so:
6(0)+6=6
6(-2)+6=-6
so the maximum has an x value of -2 and the minimum has an x value of 0.
My question is does the magnitude of a value from the second derivative have any significance?
and if so what does it show or mean?