Thu March 17, 2011 By: Annie Joseph

PLEASE CLARIFY F'(X) changes sign from negative to positive (or vice versa ??) then is is local maximum..[refer to 07:17 of part 3 math Video Lesson: Maxima - Minima-I Derivative Test.

Expert Reply
Sat March 19, 2011
Dear Student

If  F'(x)  changes from positive to negative as passes through  then it is the point of local maxima.

If F'(x) changes sign from negative to positive then the extreme point  is a point of local minima.

Hope it clarifies the point

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