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

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
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})