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Find the value of x for which f(x) is minimum

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})
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})