Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

A point \((x, y)\) moves along the curve \(y = \frac{2 \ln x}{x}\) in such a way that its \(x\)-coordinates is increasing at a constant rate of \(0.03\) units per second. Find the corresponding rate of change of the \(y\)-coordinate at the instant when \(x = 1\).

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Answer:\(0.06\text{ units per second}\), increasing

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