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Lesson Packs · Grade 12 · Mathematics

The Chain Rule

Students learn to split a composite function into an inner and an outer function and differentiate it with the chain rule, including powers of functions, combinations with the product and quotient rules, tangent lines and rates of change.

Unit 2 · Lesson 6 · Derivatives

Preview

The Chain Rule — Slide 1
  • The Chain Rule — Slide 4
    Slide 4
  • The Chain Rule — Slide 8
    Slide 8
  • The Chain Rule — Slide 16
    Slide 16
  • The Chain Rule — Slide 17
    Slide 17
  • The Chain Rule — Worksheet, page 1
    Worksheet, page 1
  • The Chain Rule — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Identify the inner function and the outer function of a composite function y = f(g(x)).
  • Differentiate composite functions with the chain rule, including powers and roots of functions.
  • Combine the chain rule with the product and quotient rules, and use it to find tangent lines and rates of change.

What's inside

  • 39 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (34 marks) with step-by-step solutions
  • Printable worksheet (4 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.