2.12: Connected rates of change with parametric variables

0606/21/M/J/19 — Question 7 · 5 marks

The variables xx, yy and uu are such that y=tan⁡uy = \tan u and x=u3+1x = u^{3} + 1.
(i)
State the rate of change of yy with respect to uu.
[1]
(ii)
Hence find the rate of change of yy with respect to xx, giving your answer in terms of xx.
[4]