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WAEC Further Mathematics 2008 Question 6

Question 6

Differentiation

If f(x) = 2x2 − 3x − 1 find the value of x for which f(x) is minimum.

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

Answer: C (3/4)

Explanation

f′(x) = 4x − 3 = 0 gives x = 3/4, and f″(x) = 4 > 0 so it is a minimum.