Differentiation
Rate of change
Use d/dx(xⁿ) = nxⁿ⁻¹ and recognise derivatives of common functions.
Mathematics · Grade 11–12
Use algebra to understand change and accumulation.
The senior pathway begins with calculus foundations: derivatives describe instantaneous rate of change, while integrals describe accumulation and reverse differentiation.
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Calculus Foundations Lab
Practise power-rule differentiation, basic derivatives, power-rule integration and antiderivative matching.
Integration
Accumulation
Use ∫xⁿdx = xⁿ⁺¹/(n+1) + C for n ≠ −1.
Inverse thinking
Differentiate to check
Recognise that antiderivatives can be checked by differentiating them.