Additional Mathematics 0606 / Calculus — Integration / 3.153.15: Equation of a curve from its derivative0606/12/M/J/21 — Question 4 · 6 marksMark as done · Save for later · Show all solutionsA curve is such that dydx=3(2x+2)−23\dfrac{\mathrm{d}y}{\mathrm{d}x} = 3(2x + 2)^{-\frac{2}{3}}dxdy=3(2x+2)−32. The curve has gradient 444 at the point (2, 6.2)(2,\ 6.2)(2, 6.2). Find the equation of the curve.[6]▸ Answer▸ Official mark scheme← 3.77: Stationary point and shaded area under a curve3.83: Second-order differential equation of a curve →
