2.59: Product and quotient differentiation

0606/23/M/J/17 — Question 7 · 8 marks

Differentiate with respect to xx,
(i)
(1+4x)10cosx(1 + 4x)^{10}\cos x,
[4]
(ii)
e4x5tanx\dfrac{\mathrm{e}^{4x - 5}}{\tan x}.
[4]