SECOND DERIVATIVES DIAGNOSE THE SHAPE OF THE CURVE

• THEY GIVE THE RATE OF CHANGE OF THE SLOPE

• IF POSITIVE THE CURVE IS CONVEX DOWNWARD OR CONCAVE UPWARD (IF AN EXTREME A MINIMUM)

• IF NEGATIVE THE CURVE IS CONVEX UPWARD OR CONCAVE DOWNWARD (IF AN EXTREME A MAXIMUM)

• IF ZERO IT IS AT A POINT OF INFLECTION

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