Applications of Differentiation: Stationary Points and Optimisation
A senior study guide to using the first and second derivatives to find and classify stationary points and points of inflection, then…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further. This Year 13 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.
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Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Year 13 Integration (Polynomials) Worksheet — Level 3
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Year 13 students (typically ages 17–18) working on calculus. It is pitched at level 3 · challenge; an easier version is linked above.
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
Move on to Exponentials & Logarithms.
Year 13 · Mathematics · Calculus
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Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
Preview — the PDF contains the full resource and answer sheet.
A senior study guide to using the first and second derivatives to find and classify stationary points and points of inflection, then…
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Ten exam-style calculus questions covering differentiation (product, quotient and chain rules with exponentials, logarithms and…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This Year 13 worksheet has…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This Year 13 worksheet has…
Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this year group. This Year 13…
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