Additional Mathematics 0606 / Calculus — Differentiation 2 / 3.953.95: Quotient rule to a given derivative form0606/13/O/N/23 — Question 9 · 5 marksMark as done · Save for later · Show all solutionsGiven that y=(5x+2)13(x−1)2y = \dfrac{(5x + 2)^{\frac{1}{3}}}{(x - 1)^{2}}y=(x−1)2(5x+2)31, show that dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy can be written in the form −(Ax+B)3(5x+2)23(x−1)3\dfrac{-(Ax + B)}{3(5x + 2)^{\frac{2}{3}}(x - 1)^{3}}3(5x+2)32(x−1)3−(Ax+B), where AAA and BBB are integers.[5]▸ Answer▸ Official mark scheme← 3.121: Related rates for a cylinder's curved surface3.73: Product rule derivative and stationary point →
