Correct Answer: Option C

Explanation

y = (x\(^2\) - \(\frac{1}{x}\))\(^2\)
y = (x\(^2\) - \(\frac{1}{x}\))(x\(^2\) - \(\frac{1}{x}\))
y = x\(^4\) - x - x + 1/x2
y = x\(^4\) - 2x + 1/x2
y = x\(^4\) - 2x + x-2
dy/dx = 4x\(^3\) - 2 - 2x\(^-3\)
= 4x\(^3\) - 2 - \(\frac{2}{x^3}\)

There is an explanation video available below.

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