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Class 12

Maxima, Minima and Mixed Practice — Quiz

Five questions on local and absolute maxima and minima and simple optimisation. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find the local maximum value of f(x)=x3−27x+4f(x) = x^3 - 27x + 4.
  2. Find the absolute maximum of f(x)=x2−4x+1f(x) = x^2 - 4x + 1 on [0,5][0, 5].
  3. Of all rectangles with perimeter 6060 cm, the largest area is
  4. Two positive numbers add to 2424. What is the greatest possible product?
  5. At a point cc with f′(c)=0f'(c) = 0 and f′′(c)>0f''(c) > 0, the function has
Unanswered questions are marked wrong.

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