A curve has equation \(y=\dfrac{\mathrm{e}^{x^2}}{x-2}\) for \(x\lt 2\).

(a) Find the value of \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) when \(x=0\).

When \(x=0\), \(y\) is increasing at the rate of \(0.5\) units per second.

(b) Find the corresponding rate of change of \(x\).