SOLUTION: Solve the following optimization problem: Minimize x^3-10x^2+6 Then I must determine whether the solutions are locally or globally optimal Thank you, June

Question 1040516: Solve the following optimization problem: Minimize x^3-10x^2+6
Then I must determine whether the solutions are locally or globally optimal
Thank you,
June
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==> y' = ==> y" = 6x - 20.
Setting y' = 0 gives x = 0, 20/3.
At x = 0, y" = -20 < 0, ==> local maximum by the 2nd derivative test. (Not global, since .)
At x = 20/3, y" = 20 > 0, ==> local minimum by the 2nd derivative test. (Not global, since .)
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