SOLUTION: For the function f(x)=x^3-3x, find: 1) the local maximum, which occurs at which point? 2) the local minimum, which occurs at which point?

Question 1160473: For the function f(x)=x^3-3x, find:
1) the local maximum, which occurs at which point?
2) the local minimum, which occurs at which point?
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

The two extreme points are for x at 1 and x at -1.
You can finish this.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Find the two critical points by solving:

Then evaluate the second derivative at each of the critical points. If:

Then the critical point is a local maximum. If:

Then the critical point is a local minimum.

John

My calculator said it, I believe it, that settles it

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