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## Main Question or Discussion Point

So to find the x values of the stationary points on the curve:

f(x)=x

you make f '(x)=0

so:

3x

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)=x

^{3}+3x^{2}you make f '(x)=0

so:

3x

^{2}+6x=0x=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?