1.20: Quotient rule and approximate change

0606/11/O/N/19 — Question 4 · 5 marks

It is given that y=ln(4x2+1)2x3y = \dfrac{\ln(4x^{2} + 1)}{2x - 3}.
(i)
Find dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}.
[3]
(ii)
Find the approximate change in yy as xx increases from 22 to 2+h2 + h, where hh is small.
[2]