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

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

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