ECZ 2025 · GCE Paper 2 · Question 2 — Introduction To Calculus

Question from ECZ 2025 · GCE Paper 2 · Question 2

(a) Express 5x - 1 - 2x - 2 as a single fraction in its simplest form.[3]

Verified working — step 1

Put both fractions over the common denominator (x - 1)(x - 2):

(b) Find the equation of a tangent to the curve y = x3 - 5x2 + 8x - 4 at x = 1.[3]

Verified working — step 1

Differentiate: dydx = 3x2 - 10x + 8.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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