2025 Maths Adv HSC Q24 Solve calculus/algebra problem involving common tangent to 2 distinct graphs

Keywords: parabola, natural logarithm, differential calculus, common point of contact, differentiation, application of calculus, algebraic techniques Sample solution: © The Maths Studio (themathsstudio.net) Source: © NSW Education Standards Authority Disclaimer: This sample solution is intended as a guide only and does not necessarily represent the best way to answer the question, nor is there any guarantee of accuracy.