Additional Mathematics 0606 / Calculus — Differentiation 2 / 2.62.6: Logarithmic function and approximate change in x0606/21/M/J/18 — Question 2 · 5 marksMark as done · Save for later · Show all solutionsThe variables xxx and yyy are such that y=ln(3x−1)y = \ln(3x - 1)y=ln(3x−1) for x>13x > \tfrac{1}{3}x>31.(i)Find dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy.[2]▸ Answer(ii)Hence find the approximate change in xxx when yyy increases from ln1.2\ln 1.2ln1.2 to ln1.2+0.125\ln 1.2 + 0.125ln1.2+0.125.[3]▸ Answer▸ Official mark scheme← 2.52: Quotient rule with sine in the denominator1.16: Logarithmic curve: derivative and stationary point →
