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Match each sign change to its verdict

Exercise and reference answers

Matching pairs
  1. Left
    f ′ goes positive → negative
    Right
    local maximum at c
  2. Left
    f ′ goes negative → positive
    Right
    local minimum at c
  3. Left
    f ′ does not change sign
    Right
    point of inflexion
  4. Left
    f ′(c) = 0 or f not differentiable at c
    Right
    c is a critical point

Explanation

The three outcomes of the first derivative test, exactly as your syllabus lists them. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.
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