Question Detail

MTH 102 Differentiation Objective Question
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Question

Find the stationary points of \( y = x^3 - 3x^2 - 9x + 3 \).
Options
A \( (3, -24) \) and \( (-1, 8) \)
Correct Answer
B \( (3, 0) \) and \( (-1, 0) \)
C \( (3, 24) \) and \( (1, 8) \)
D \( (0, 3) \) only
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 3x^2 - 6x - 9 = 3(x-3)(x+1) ). Roots are 3 and -1. Coordinates: ( (3, -24) ) and ( (-1, 8) ).

Hint

Set the first derivative equal to zero to find the critical values.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 124 of 930
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