Differentiation from First Principles | OCR A A-Level Maths | 40 Worked Examples (H240)

40 fully worked differentiation-from-first-principles questions for OCR A A-Level Mathematics (H240, spec 1.07g and 1.07h), every line explained and annotated to the real OCR M/A/B/SC mark scheme. Built straight from the limit definition printed on the H240 formula pages, f’(x) = lim as h tends to 0 of [f(x+h) - f(x)] / h. Covers small positive integer powers of x (quadratics, cubics and quartics, with coefficients, sums and letters), the gradient-of-chord idea and its limit, evaluating a derivative at a point, tangents and normals, stationary points, and the A-Level-only proofs of the derivatives of sin x and cos x using the compound-angle formulae and the standard limits. Includes the exact OCR ‘In this question you must show detailed reasoning’ (DR) style, a key-facts reference box, and progressive difficulty from Easy to Challenging. Ideal for revision, homework and cover lessons.