Word Count : 166

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Given: $y = a x + \frac{b}{x}$ First, compute the first derivative $\frac{dy}{dx}$: $\frac{dy}{dx} = \frac{d}{dx} (a x + b x^{-1})$ $\frac{dy}{dx} = a - b x^{-2}$ Next, compute the second derivative $\frac{d^2 y}{dx^2}$: $\frac{d^2 y}{dx^2} = \frac{d}{dx} (a - b __________ _______ ___ ________ _____ ___ _______ __________ ________.
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