Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Find the maximum value of y if y = x³-3x²+3
Options
A 1
B -1
C 3
Correct Answer
D 2
Correct Answer

Option C is the correct answer.

Detailed Explanation

From the same critical points x=0 and x=2, y''=6x-6 is negative at x=0 (maximum). y(0)=3.

Hint

Use the same critical points as before, but check the second derivative at x=0.

Question Info