IP AMaths Notes (Upper Sec, Year 3-4): 14) Differentiation Fundamentals

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 14) Differentiation Fundamentals cover?
A: First principles, power rule, and basic derivative interpretations for IP AMaths.

Differentiation measures instantaneous rate of change. Know how to move from first principles to the standard rules.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.

Content here mirrors the SEAB GCE O-Level Additional Mathematics (4049) differentiation fundamentals: limits from first principles, power rule, and basic gradient/tangent interpretation.

Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.

Key rules

Limit definition. $f^{\prime}(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}$

IP AMaths Notes (Upper Sec, Year 3-4): 14) Differentiation Fundamentals

Key rules

Worked example 1 - From first principles

Worked example 2 - Composite function

Worked example 3 - Equation of a tangent line

Practice Quiz

Try this

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