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Question 310003
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Application of Derivatives: Critical points MCQ

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Critical pointsEasyQuestion 310003

Question

At a local maximum or minimum, f'(x) is:
  1. A
    0
    Correct
  2. B
    Positive
  3. C
    Negative
  4. D
    Undefined always

Correct answer

0

Explanation

At a local extremum (maxima or minima), f'(x) = 0 (stationary point), provided f is differentiable there. (Also check points where f' is undefined.)

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