Additional Mathematics 0606 / Calculus — Differentiation 2 / 3.703.70: Derivative of xcos 2xx\mathrm{cos}\,2xxcos2x; integrate xsin 2xx\mathrm{sin}\,2xxsin2x0606/22/O/N/25 — Question 7 · 6 marksMark as done · Save for later · Show all solutions(a)Given that y=xcos 2xy = x\mathrm{cos}\,2xy=xcos2x, find dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy.[2]▸ Answer(b)Hence find ∫xsin 2x dx\displaystyle\int x\mathrm{sin}\,2x\,\mathrm{d}x∫xsin2xdx.[4]▸ Answer▸ Official mark scheme← 3.67: Exactly one stationary point on a ln curve3.72: Related rates for a sphere →
