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These pages are created only for skills with enough matching questions in the walkthrough catalogue to provide useful practice. Grouping comes from the recorded method for each walkthrough; Calc.nz does not infer grades or difficulty from question position.

Chain Rule 30 questions · Level 3 AS91578. Practise differentiating composite functions across powers, roots, logarithms, trigonometric functions, and exponential functions. Product and Quotient Rules 30 questions · Level 3 AS91578. Practise differentiating products and quotients, including questions where one factor or expression also needs the chain rule. Related Rates 12 questions · Level 3 AS91578. Practise connecting changing geometric or physical quantities through a shared equation and rates measured with respect to time. Stationary Points and Optimisation 43 questions · Level 2 AS91262, Level 3 AS91578. Practise finding and classifying stationary or critical points, then using derivative evidence to maximise or minimise a model. Parametric Differentiation 14 questions · Level 3 AS91578. Practise finding gradients and tangent information when both coordinates are expressed using a parameter. Antidifferentiation 25 questions · Level 2 AS91262, Level 3 AS91579. Practise recovering a function from its derivative or rate, including power, logarithmic, exponential, motion, and initial-condition examples. Integration Techniques 49 questions · Level 3 AS91579. Practise choosing and preparing an integration method from the structure of the integrand or from tabulated numerical data. Differential Equations 23 questions · Level 3 AS91578, Level 3 AS91579. Practise solving separable differential equations and verifying proposed relationships with first or second derivatives. Complex-number Algebra 88 questions · Level 3 AS91577. Practise exact algebra with complex numbers, conjugates, real and imaginary parts, polynomials, quadratics, surds, and radical equations. Polar Form and De Moivre’s Theorem 27 questions · Level 3 AS91577. Practise modulus-and-argument calculations, polar or cis form, powers, and complete sets of complex roots.

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Level 3 Calculus overview All standards and years

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