3.25: Small change relating x and y

0606/22/M/J/22 — Question 4 · 5 marks

Variables xx and yy are related by y=x+1x+2y = x + \dfrac{1}{x} + 2 where x>0x > 0. Use differentiation to find the approximate change in xx when yy increases from 44 by the small amount 0.010.01.
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