4.05: Normal to an exponential curve

0606/13/M/J/26 — Question 12 · 7 marks

The curve has equation \(y=\mathrm e^{2a/x}\), where \(a>0\).
(a)
Find \(\dfrac{\mathrm dy}{\mathrm dx}\).
[2]
(b)
The normal at \(x=a\) passes through the origin. Find \(a\).
[5]