It is given that \(y=\dfrac{\ln(3x^2-1)}{x+2}\), for \(x>\dfrac1{\sqrt3}\). When \(x=1\), \(y\) is increasing at the rate of \(h\) units per second. Find, in terms of \(h\), the corresponding rate of change in \(x\), giving your answer in exact form.[6]
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