Correct Answer: Option C

Explanation

\(y = 3x^{2} + \frac{1}{x^{2}} \equiv y = 3x^{2} + x^{-2}\)

\(\frac{\mathrm d y}{\mathrm d x} = 6x - 2x^{-3}\)

= \(6x - \frac{2}{x^{3}}\)

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