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AP EAMCET20224 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

The minimum value of f x = x + 4 x + 2 is

Options

  1. A- 1
  2. B- 2
  3. C1
  4. D2

Correct answer

D. 2

Step-by-step solution

f x = x + 4 x + 2 For minima, f ' x = 0 1 - 4 x + 2 2 = 0 x + 2 2 = 4 ⇒ x + 2 = ± 2 ⇒ x = 0 , - 4 f " x = 8 x + 2 - 3 At x = 0 ,   f x will have minima. i.e. the minimum value f 0 = 2

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