C3 differentiation past-papers: mark schemes

2 cosx MI,AI Ml, —2xcosx x2 sinx (a) (b) (c) Y dy _ (cos x) = sec x — Writes sec x as (cosx)- and gives or (cosx) 2 (sin x) ... 2cos2x(2 + cos2x) — — 2sin2x(3 + sin2x) (2 + cos2x)2 4cos2x 2cos2 2x 4 6sin2x 2sin2 2x (2 + cos2x)2 4cos2x 6sin2x + 2(cos22x 4 sin2 2x) (2 4 cos2x)2 ................
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