Additional Mathematics 0606 / Equations, inequalities and graphs / 3.643.64: Differentiate and factorise0606/23/M/J/25 — Question 2 · 3 marksMark as done · Save for later · Show all solutionsGiven that y=x45−x3y = \dfrac{x^{4}}{5} - x^{3}y=5x4−x3, show that dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy can be written as x2(4x5−3)x^{2}\bigl(\dfrac{4x}{5} - 3\bigr)x2(54x−3), or the printed target (2x+5)x33\dfrac{(2x + 5)x^{3}}{3}3(2x+5)x3.[3]▸ Answer▸ Official mark scheme← 3.63: Solve (x+2)(4−x)⩾0(x + 2)(4 - x) \geqslant 0(x+2)(4−x)⩾03.105: Square of a linear function: sketch and inequality →
