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 - \(\frac{4}{x}\)
The correct answer is: B
Explanation
y = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)
\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\)
There is an explanation video available .