Question Detail

MTH 102 Differentiation Objective Question
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Question

Stationary points of \( y = x^2 + 16/x \) are?
Options
A \( (2, 12) \)
Correct Answer
B \( (2, 0) \)
C \( (4, 4) \)
D No stationary points
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 2x - 16/x^2 = 0 \implies 2x^3 = 16 \implies x^3 = 8 \implies x = 2 ). At ( x=2, y = 4 + 8 = 12 ).

Hint

Set the first derivative to zero and solve for \( x \).

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 168 of 930
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