Additional Mathematics 0606 / Circular measure / 3.363.36: Derivative of an exponential and a related definite integral0606/13/M/J/21 — Question 2 · 8 marksMark as done · Save for later · Show all solutions(a)Find ddx(x2e3x)\dfrac{\mathrm{d}}{\mathrm{d}x}\bigl(x^{2}\mathrm{e}^{3x}\bigr)dxd(x2e3x).[3]▸ Answer(b)(i)Find ddx((3x+4)2/3)\dfrac{\mathrm{d}}{\mathrm{d}x}\bigl((3x + 4)^{2/3}\bigr)dxd((3x+4)2/3).[2]▸ Answer(b)(ii)Hence find ∫01/22(3x+4)−1/3 dx\displaystyle\int_{0}^{1/2} 2(3x + 4)^{-1/3}\,\mathrm{d}x∫01/22(3x+4)−1/3dx.[3]▸ Answer▸ Official mark scheme← 3.7: Circle with midpoints and an inner arc3.8: Sector with external tangents forming a kite →
