Given that \(y=\dfrac{2x}{\sqrt{4x+1}}\), find the value of \(h\) and of \(k\) for which \(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{hx+k}{\sqrt{(4x+1)^3}}\).[4]
The equation of a curve is \(y=-\dfrac23x^3-x^2+12x+4\). Find the set of values of \(x\) for which \(y\) is decreasing.[4]
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