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Derivative of One Function w.r.t Another

The Second De...

Question

The Second Derivative Test for finding local maxima, local minima fails if

A

f' (c) = 0 and f" (c) = 0

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B

f' (c) = 0 and f" (c) ≠ 0

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C

f' (c) ≠ 0 and f " (c) ≠ 0

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D

f' (c) ≠ 0 and f" (c) = 0

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Solution

The correct option is A
f' (c) = 0 and f" (c) = 0

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