Question Detail
Question
Find the minimum value of y if y = x³-3x²+3
Correct Answer
Option B is the correct answer.
Detailed Explanation
y'=3x²-6x=3x(x-2)=0 gives x=0 or x=2. y''=6x-6, which is positive at x=2 (minimum). y(2)=8-12+3=-1.
Hint
Find critical points from y'=0, then use the second derivative test to identify which is the minimum.