Additional Mathematics 0606 / Calculus — Differentiation 2 / 3.983.98: Product rule and related integral0606/23/M/J/22 — Question 8 · 6 marksMark as done · Save for later · Show all solutions(a)Differentiate y=2xe4xy = 2x\mathrm{e}^{4x}y=2xe4x with respect to xxx.[2]▸ Answer(b)Hence find ∫xe4x dx\displaystyle\int x\mathrm{e}^{4x}\,\mathrm{d}x∫xe4xdx.[4]▸ Answer▸ Official mark scheme← 3.28: Differentiate a product with exponential3.46: Derivative of a sine product and normal →