What differentiation rules do I need for O Level AMath?

You need the power rule, chain rule, product rule, and quotient rule. Know standard derivatives: sin x → cos x, cos x → −sin x, eˣ → eˣ, ln x → 1/x.

How do I find stationary points?

Differentiate to get dy/dx, set dy/dx = 0 and solve for x, substitute back to find y-coordinates, then use the second derivative or nature table to classify as max, min, or point of inflexion.

What are common O Level differentiation mistakes?

Forgetting the chain rule on composite functions, sign errors with trigonometric derivatives, and not simplifying dy/dx before setting it to zero. Show every step — method marks matter.

O Level · Additional Mathematics

35+ O Level A Math Differentiation Practice Questions for 2026 (based on Singapore MOE Syllabus)

O Level Additional Math differentiation covers power rule, chain rule, product rule, quotient rule, and applications to gradients and stationary points. This page has 35+ questions with full worked solutions.

35 free sample questions below — answers and step-by-step solutions included.

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Frequently asked questions

What differentiation rules do I need for O Level AMath?: You need the power rule, chain rule, product rule, and quotient rule. Know standard derivatives: sin x → cos x, cos x → −sin x, eˣ → eˣ, ln x → 1/x.
How do I find stationary points?: Differentiate to get dy/dx, set dy/dx = 0 and solve for x, substitute back to find y-coordinates, then use the second derivative or nature table to classify as max, min, or point of inflexion.
What are common O Level differentiation mistakes?: Forgetting the chain rule on composite functions, sign errors with trigonometric derivatives, and not simplifying dy/dx before setting it to zero. Show every step — method marks matter.