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Obtain a maximum value of the function f(x) x3 – 12x + 11

Obtain a maximum value of the function f(x) x3 – 12x + 11
  • A.
    -5
  • B.
    -2
  • C.
    2
  • D.
    27
Correct Answer: Option D
Explanation

f(x) = x3 – 12x + 11
(frac{df(x)}{dx)}) = 3x2 – 12 = 0
∴ 3x2 – 12 = 0 (to) x2m = 4
x = (pm)2, f(+2) = 8 – 24 + 11 = -15
= f(-2) = (-8) + 24 + 11
= 35 – 8 = 27
∴ maximum value = 27

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