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