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If \(f(x) = 2x^{2} - 3x - 1\), find the value of x for which...

Further Mathematics
WAEC 2008

If \(f(x) = 2x^{2} - 3x - 1\), find the value of x for which f(x) is minimum.

  • A. \(\frac{3}{2}\)
  • B. \(\frac{4}{3}\)
  • C. \(\frac{3}{4}\)
  • D. \(\frac{2}{3}\)
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Correct Answer: Option C
Explanation

\(y = 2x^{2} - 3x - 1\)

\(\frac{\mathrm d y}{\mathrm d x} = 4x - 3 = 0\) (At turning point)

\(4x = 3 \implies x = \frac{3}{4}\)


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