Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

The equation of a curve is \(y=\frac{3x+1}{4x-7}\). Given that \(y\) is changing at a constant rate of \(0.5\) units per second, find the rate of change of \(x\) when \(x=2\).

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Answer:\(-\frac1{50}\text{ unit s}^{-1}\)

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