Question Detail

MTH 102 Differentiation Objective Question
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Question

Range where \( y = 1 - 3x^2 - x^3 \) is decreasing?
Options
A \( x < -2 \) or \( x > 0 \)
Correct Answer
B \( -2 < x < 0 \)
C \( x < 0 \)
D \( x > -2 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = -6x - 3x^2 = -3x(2 + x) < 0 ). This occurs when ( x < -2 ) or ( x > 0 ).

Hint

Determine the intervals where the derivative is negative.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 206 of 930
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