Ppup
= sin2xcos2x cosx —- sin22x cosx — 18 — -(1 — cos4x)cosx = -cosx — L cos4x cosx = -cosx — (cos3x + cos5x) — (2cosx — cos3x — cos5x) 2cos x + — — 3ncos 3x + nrr — 5ncos 5x + — Example 4 Find the nth derivative of sin4x Solution: Let y = sin4x = (sin2x)2 -2 sin2x — L ((1 — cos 2x)2 1 — 2cos2x + ................
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