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At a critical point (a candidate for a local maximum or minimum) of a differentiable function $f$:

A$f(x) = 0$
B$f''(x) = 0$
C$f'(x) = 1$
D$f'(x) = 0$
Answer & Solution
Correct answer: D. $f'(x) = 0$
Critical points of a differentiable function satisfy f'(x) = 0.
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