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JAMB - Mathematics (2016 - No. 26)

Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)
3x2 - \(\frac{4}{x}\)
2x2 +\(\frac{4}{x^2}\)
3x2 + \(\frac{4}{x^2}\)
2x2 - \(\frac{4}{x}\)

解释

y = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)

\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\)

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