Question Detail

MTH 102 Differentiation Objective Question
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Question

Find the range of \( x \) for which \( y = x^3 - 6x^2 + 12 \) is decreasing.
Options
A \( x < 0 \)
B \( x > 4 \)
C \( 0 < x < 4 \)
Correct Answer
D All real numbers
Correct Answer

Option C is the correct answer.

Detailed Explanation

( y' = 3x^2 - 12x < 0 \implies 3x(x - 4) < 0 \implies 0 < x < 4 ).

Hint

Determine where the first derivative is negative.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 126 of 930
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