Home Maths Differentiation and Applications of Derivatives General Let f : [a, b] → R be a function such that f…
Maths Differentiation and Applications of Derivatives General Single Correct MCQ
Published on: August 12, 2026

Let f : [a, b] → R be a function such that for

c ∈ (a, b), f ′

A
f has local extremum at x = c or
B
f has neither local maximum nor local minimum at x = c
C
= f ″ = f ″′ =f iv = f v = 0, then : f is necessarily a constant function
D
It is difficult to say whether

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Text Solution

Verified by Experts
The correct answer is:
B

Maxima/minima always occurs at even derivative

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