Question Detail
Question
Determine the nature of the stationary point at \( x = 3 \) for \( y = x^3 - 3x^2 - 9x + 3 \).
Correct Answer
Option B is the correct answer.
Detailed Explanation
( y'' = 6x - 6 ). At ( x=3, y'' = 18 - 6 = 12 > 0 ), which indicates a minimum.
Hint
Use the second derivative test.