Applications of Differentiation: Stationary Points and Optimisation
An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
Extra practice for Year 12 Integration (Polynomials) Worksheet — Level 1: the same skill with fresh questions.
Practice Set 4 for Year 12 Integration (Polynomials) Worksheet — Level 1: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 3 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Year 12 Integration (Polynomials) Worksheet — Level 1 — Practice Set 4
Year 12 students (typically ages 17–18) working on calculus. It is pitched at level 1 · easier; a harder 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.
Try Year 12 Integration (Polynomials) Worksheet — Level 2.
Name
Date
Score /
Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
Preview — the PDF contains the full resource and answer sheet.
An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…
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Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…
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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. Builds confidence with the core skill before adding complexity. This Year 12…
Differentiate polynomial functions using the power rule. Expected-level practice for this year group. This Year 12 worksheet has 10…
Worksheet · Year 11 · Calculus · Level 1 · Easier
Worksheet · Year 11 · Calculus · Level 2 · Standard
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