Built for Singapore MOE syllabuses · 2026 (PSLE → A-Levels)

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O-Level A-Maths
Worked example
Question
Differentiate (y = (2x - 3)^5). Hence, find (dy/dx) when (x = 2).
1
Use chain rule
Let (u = 2x - 3). Then (y = u^5). So (dy/dx) = (dy/du) · (du/dx).
2
Differentiate
(dy/du) = 5u^4 and (du/dx) = 2. Hence (dy/dx) = 10(2x-3)^4.
3
Substitute (x = 2)
(dy/dx) = 10(2·2 - 3)^4 = 10(1)^4 = 10.
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