Differentiate y=2x-1/x^2

Dear Student,

y = \frac{2 x - 1}{x^{2}} = (2 x - 1) x^{- 2} \frac{dy}{dx} = (2 x - 1) . \frac{d (x^{- 2})}{dx} + x^{- 2} . \frac{d (2 x - 1)}{dx} \frac{dy}{dx} = (2 x - 1) \times - 2 x^{- 3} + x^{- 2} \times 2 \frac{dy}{dx} = \frac{2}{x^{2}} - \frac{2 (2 x - 1)}{x^{3}} \frac{dy}{dx} = \frac{2 x^{3} - 2 x^{2} (2 x - 1)}{x^{5}}