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At what value of x is the function x\(^2\) + x + 1 minimum?

Mathematics
JAMB 1990

At what value of x is the function x\(^2\) + x + 1 minimum?

  • A. -1
  • B. \(-\frac{1}{2}\)
  • C. \(\frac{1}{2}\)
  • D. 1
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Correct Answer: Option B
Explanation

x\(^2\) + x + 1

\(\frac{dy}{dx}\) = 2x + 1

At the turning point, \(\frac{dy}{dx}\) = 0

2x + 1 = 0

x = -\(\frac{1}{2}\)


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