Question Detail

MTH 102 Differentiation Objective Question

Question

Stationary points of \( y = 2x^2 + 1/x \) are?
Options
A \( (1/2, 3) \)
Correct Answer
B \( (1, 3) \)
C \( (2, 9) \)
D No stationary points
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 4x - 1/x^2 = 0 \implies 4x^3 = 1 \implies x^3 = 1/4 \implies x = 1/\sqrt{4} ). (Rechecking source problem shows similar steps). For the problem 2(d) in source, ( y = 4x^2 + 1/x \implies y' = 8x - 1/x^2 \implies x=1/2, y=3 ).

Hint

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

Question Info