Given that \(y=\ln\dfrac{x-2}{3x^2+4}\), show that \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) at the point \(x=4\) is \(\dfrac1{26}\).[3]
It is also given that \(y\) is decreasing at a constant rate of 5 units per second. Using the answer from part (a), find the rate of change of \(x\) with respect to time when \(x=4\).[2]
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