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Lesson Packs · Grade 12 · Mathematics

Rules of Differentiation

Students learn the constant, power, constant multiple, sum and difference rules, then the product and quotient rules. They use them to differentiate polynomials, roots and rational functions, and to find slopes and tangent lines at given points.

Unit 2 · Lesson 5 · Derivatives

Preview

Rules of Differentiation — Slide 1
  • Rules of Differentiation — Slide 4
    Slide 4
  • Rules of Differentiation — Slide 8
    Slide 8
  • Rules of Differentiation — Slide 16
    Slide 16
  • Rules of Differentiation — Slide 17
    Slide 17
  • Rules of Differentiation — Worksheet, page 1
    Worksheet, page 1
  • Rules of Differentiation — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Differentiate polynomials using the constant, power, constant multiple, sum and difference rules.
  • Rewrite roots and fractions as powers of x, and differentiate them with the power rule.
  • Apply the product and quotient rules, and find slopes and tangent lines at given points.

What's inside

  • 37 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (34 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

Do downloads count toward my plan?

Yes. Sign in with your free KiwiBee account to download. Each download counts toward your plan's daily and monthly download limit, the same as worksheets.