O Level
O-Level Additional Mathematics: Differentiation Applications: Tangents & Normals
•By Intuitional Team•1 min read
O-Level Additional Mathematics — Differentiation Applications: Tangents & Normals: quick notes, common traps, and an exam-style example.
Differentiation review
dy/dx = limit definition → rules: power, product, quotient, chain. Apply carefully in composite functions.
Applications
Gradient of tangent = dy/dx. Stationary points: set dy/dx = 0, use 2nd derivative to classify.
Exam habits
- Always simplify before differentiating if possible.
- State nature of stationary points explicitly (min, max, inflexion).
- Don’t forget implicit differentiation for mixed x, y.
Tags
O-LevelAdditional MathematicsDifferentiation Applications