2025 Leaving Cert Ordinary Level Maths Mock Paper 1 Question 6 | Full Solution

In this video, we work through the full, step-by-step solution to Question 6 from the 2025 Leaving Certificate Ordinary Level Maths Mock Paper 1. This 25-mark section A question focuses entirely on Calculus/Differentiation — specifically finding the derivative, setting it to zero, and using that info to find the local maximum and minimum coordinates of a function. These exact algebra and calculus steps show up on mock and official SEC papers every single year, making it an essential topic to master! What we cover in this video: Part (a): Finding g(0) (Evaluating a function by substitution) Part (b): Finding g'(x) (Differentiating using standard calculus rules) Part (c): Solving g'(x) = 0 (Factorising the quadratic derivative) Part (d): Finding the Maximum & Minimum Turning Points (Plugging x-values back into g(x)) 💡 Key Leaving Cert Mock Revision Tips: When differentiating, constants (like any plain number at the end of the function) disappear and become 0. Remember that words like "maximum and minimum points" or "turning points" mean you must find BOTH the x and y coordinates. Always plug your x-values back into the ORIGINAL function g(x) to calculate your final y-values! Make sure to grab your log tables, a calculator, and follow along to maximize your exam preparation. If this step-by-step mock solution helped you clear up calculus, please give the video a thumbs up, leave a comment if you have any questions, and subscribe for more Leaving Cert Ordinary Level Maths solutions! #LeavingCertMaths #OrdinaryLevelMaths #ProjectMaths #LeavingCert2026 #MathsMocks #Differentiation #TurningPoints #MathsRevision