Further Pure Mathematics 4PM1 / Differentiation / 1.621.62: Given that 3)e2x4PM1/2/June/2019 — Question 6 · 8 marksMark as done · Save for later(a) Given that y=(4x−\displaystyle y = (4x -y=(4x− 3)e2x(i) find dydx\displaystyle \frac{\mathrm{d}y}{\mathrm{d}x}dxdy(3)(ii) show that (4x−3)dydx=(8x−2)y\displaystyle (4x-3)\frac{\mathrm{d}y}{\mathrm{d}x}=(8x-2)y(4x−3)dxdy=(8x−2)y(2)(b) Differentiate sin5x(x−3)2\displaystyle \frac{\sin5x}{(x-3)^{2}}(x−3)2sin5x with respect to x\displaystyle xx(3)▸ Mark scheme← 1.61: 4PM1/2/June/2019 — Question 31.63: 4PM1/2/June/2019 — Question 9 →
