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?

Algebra ->  Finance -> 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?       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
df%2Fdx=3x%5E2-3

df%2Fdx=3%28x%5E2-1%29


setto0
3%28x-1%29%28x%2B1%29=0
The two extreme points are for x at 1 and x at -1.
You can finish this.

Answer by solver91311(24713) About Me  (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