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can someone show me all the steps to this question. Thanks !! 4. Prove with the help of an example that the point of inflection

can someone show me all the steps to this question. Thanks !!

4. Prove with the help of an example that the point of inflection for a cubic function f (x) must occur at the x value of vertex of f' (x). Show your all steps with full explanation for full marks. 15

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