Question Detail

MTH 102 Differentiation Objective Question
Take CBT

Question

Range where \( y = 2x^3 - 3x^2 - 12x + 2 \) is increasing?
Options
A \( x < -1 \) or \( x > 2 \)
Correct Answer
B \( -1 < x < 2 \)
C \( x < 2 \)
D \( x > -1 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 6x^2 - 6x - 12 = 6(x-2)(x+1) > 0 ). This occurs when ( x < -1 ) or ( x > 2 ).

Hint

Solve the inequality where the derivative is positive.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 205 of 930
Previous Course Details Next