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In this video, we walk through the solution for the 2025 Leaving Certificate Higher Level Maths Paper 1, Question 9. This question focuses on Calculus and its real-world applications. We cover: Substituting values into a quadratic function to find fuel consumption. First-order differentiation and the rate of change. Working with natural logs (ln) in calculus. Applying the Chain Rule to find the rate of change across multiple variables. This step-by-step tutorial is perfect for students preparing for their mocks or the final exam who want to master calculus and differentiation for the Leaving Cert. 00:00 Introduction to Calculus Question 9 01:35 Part i: Finding Fuel Consumption at Specific Speeds 02:35 Part ii: Finding the Derivative and Rate of Change 04:15 Part iii: Calculating the Derivative at a Specific Time 06:03 Part iv: Finding the Rate of Change of Speed 08:38 Part v: Applying the Chain Rule for Fuel Consumption