Techniques and concepts for finding maximum and minimum values of functions under various constraints.

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Nth Term of Quadratic Sequences

Master the process of determining the Nth term in quadratic sequences through first and second differences. This summary covers essential techniques, including N² calculations and difference tables, to enhance your understanding of polynomials and sequences.

Maths

Differentiation - Higher Maths

Full notes on Differentiation for SQA Higher Maths

Maths

Surface Area Optimization

Explore the detailed solution for optimizing the surface area of a cuboid box with a tunnel, as presented in the SQA Higher Mathematics 2019 exam. This study note covers the derivation of the surface area formula, the application of differentiation to find minimum values, and step-by-step explanations for both parts A and B of the question. Ideal for students preparing for optimization problems in mathematics.

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Optimization Problems

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Maths - SQA HIGHER Mathematics 2019 P2 Q11 (OPTIMISATION question)

Worked solutions to part A and B of the 2019 higher maths paper 2 differentiation optimisation question. Part A can be tricky at first and there is a lot of work to do for just 3 marks but I have tried my best to break it down and explain it.

Quadratic Approximation

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Maths - Quadratic Sequences: Finding Nth Term

Learn how to find the Nth term of a quadratic sequence using first and second differences and N² calculations.

Second Derivative Test

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Maths - Differentiation - Higher Maths

Full notes on Differentiation for SQA Higher Maths