Question Detail

MTH 102 Differentiation Objective Question
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Question

Stationary points of \( y = 2x^3 - 6x^2 + 12 \) are?
Options
A \( (2, 4) \) and \( (0, 12) \)
Correct Answer
B \( (1, 1) \) and \( (0, 0) \)
C \( (2, -4) \) and \( (0, 12) \)
D \( (3, 0) \) only
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 6x^2 - 12x = 6x(x-2) ). Roots are 0, 2. Coordinates are ( (0, 12) ) and ( (2, 4) ).

Hint

Solve for where the derivative is zero.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 160 of 930
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