Additional Mathematics 0606 / Calculus — Differentiation 1 / 3.523.52: Domain and derivative of a rational power curve0606/12/O/N/23 — Question 12 · 6 marksMark as done · Save for later · Show all solutionsA curve has equation y=(2x−5)12−3xy = (2x - 5)^{\frac{1}{2}} - 3xy=(2x−5)21−3x.(a)Explain why the curve does not exist when x<52x < \dfrac{5}{2}x<25.[1]▸ Answer(b)Show that dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy can be written in the form A(2x−5)12−3\dfrac{A}{(2x - 5)^{\frac{1}{2}}} - 3(2x−5)21A−3, where AAA is a positive integer.[5]▸ Answer▸ Official mark scheme← 3.74: Line, curve and tangent intersection3.53: Normal determining constants p and q →
