Find (frac{dy}{dx}), if y = (frac{2}{3}) x(^3) – (frac{4}{x})

Find (frac{dy}{dx}), if y = (frac{2}{3}) x(^3) – (frac{4}{x})

  • A.
    3x2 – (frac{4}{x})
  • B.
    2x2 +(frac{4}{x^2})
  • C.
    3x2 + (frac{4}{x^2})
  • D.
    2x2 – (frac{4}{x})
Correct Answer: Option 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 below.

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