2.32: Quotient rule and approximate change in x

0606/22/M/J/16 — Question 2 · 5 marks

Variables xx and yy are related by the equation y=5x−13−xy = \dfrac{5x - 1}{3 - x}.
(i)
Find dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}, simplifying your answer.
[2]
(ii)
Hence find the approximate change in xx when yy increases from 99 by the small amount 0.070.07.
[3]