Additional Mathematics 0606 / Calculus — Differentiation 2 / 3.723.72: Related rates for a sphere0606/22/M/J/25 — Question 6 · 6 marksMark as done · Save for later · Show all solutionsThe volume of a sphere increases at rate π cm3s−1\pi\,\mathrm{cm}^{3}\mathrm{s}^{-1}πcm3s−1. Find dSdt\dfrac{\mathrm{d}S}{\mathrm{d}t}dtdS when V=36π cm3V=36\pi\,\mathrm{cm}^{3}V=36πcm3.[6]▸ Answer▸ Official mark scheme← 3.70: Derivative of xcos 2xx\mathrm{cos}\,2xxcos2x; integrate xsin 2xx\mathrm{sin}\,2xxsin2x3.71: Small increments and integrating a sine derivative →
