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JAMB Mathematics 2003 Question 39

Question 39

Differentiation

Determine the maximum value of y = 3x2 − x3.

  1. A.0
  2. B.2
  3. C.4
  4. D.6
Show the answer and explanation

Answer: C (4)

Explanation

dy/dx = 6x − 3x2 = 0 at x = 0 or 2; the second derivative is negative at x = 2, so the maximum is 12 − 8 = 4.