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UP TGT Mathematics Calculus Differentiation Test Series - Part 3

A function f(x) has a local maximum at x = c if for all x in a small neighborhood of c:

Type: MCQ • Marks: 1
A function f(x) has a local maximum at x = c if for all x in a small neighborhood of c:
Options
A. f(x) ≥ f(c)
B. f(x) = f(c)
C. f'(c) > 0
D. f(x) ≤ f(c)
Explanation
Definition of local maximum: f(x) ≤ f(c) for all x near c.
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