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WorksheetYear 12Level 1 · Easier

Free Year 12 Differentiation (Power Rule) Worksheet — Level 1

Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This Year 12 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.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 12
Subject
Maths
Topic
Calculus
Difficulty
Level 1 · Easier
Estimated time
15 minutes
Curriculum
England National Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • differentiating polynomials with the power rule
  • differentiating term by term
  • handling constant terms

Curriculum: England National Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 12 Differentiation (Power Rule) Worksheet — Level 1

  1. 1Year 12 Differentiation (Power Rule) Worksheet — Level 2
  2. 2Year 12 Differentiation (Power Rule) Worksheet — Level 3
  3. 3Year 12 Integration (Polynomials) Worksheet — Level 1
  4. 4Year 12 Integration (Polynomials) Worksheet — Level 2
Harder: Level 2 · Standard →

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 12 students (typically ages 17–18) working on calculus. It is pitched at level 1 · easier; a harder version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 12 Differentiation (Power Rule) Worksheet — Level 2.

Preview

Success TutoringWorksheetsYear 12 · Mathematics · Calculus

Year 12 Differentiation (Power Rule) Worksheet — Level 1

Name

Date

Score /

Use the power rule: d/dx(axⁿ) = naxⁿ⁻¹.

1.Differentiate y = −7x3 − 6x
2.Differentiate y = −6x2 − 7
3.Differentiate y = 4x3 + 3x2
4.Differentiate y = 6x2 − 3
5.Differentiate y = −3x2 − 1
6.Differentiate y = 5x2 − 7x
7.Differentiate y = 4x3 − 7x
8.Differentiate y = 8x2 + 6x
9.Differentiate y = 3x − 6
10.Differentiate y = −7x2 + 8
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

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Calculus in other year levels

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.