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I figured out the answer is A but I want to know why the B, C, and D are not the right answer plz explain

I figured out the answer is A but I want to know why the B, C, and D are not the right answer plz explain about it

7. Which must be true for a critical point to occur at x = my =f(x)? A f(a) = 0 Bf"(a) =0 Cf"(a) > 0 Df"(a)

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