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
Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This Year 13 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.
Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.
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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 Differentiation (Power Rule) Worksheet — Level 1
Year 13 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 13 Differentiation (Power Rule) Worksheet — Level 2.
Name
Date
Score /
Use the power rule: d/dx(axⁿ) = naxⁿ⁻¹.
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. Expected-level practice for this year group. This Year 13 worksheet has 10…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This Year 13 worksheet has…
Worksheet · Year 12 · Calculus · Level 1 · Easier
Worksheet · Year 12 · Calculus · Level 2 · Standard
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