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Lesson Packs · Grade 12 · Mathematics

Derivatives of Exponential and Logarithmic Functions

Students learn the derivatives of the natural exponential and logarithm functions, extend them to other bases and to composite functions with the chain rule, simplify with the laws of logarithms before differentiating, and find rates of growth and decay.

MathematicsGrade 12Unit 2 · Lesson 7G12-MAT-07
Slide 1
Derivatives of Exponential and Logarithmic Functions — Slide 1
+35in the download
40slides: lesson, examples and worksheet
11worksheet questions
34marks in total
3 + 4worksheet + answer key pages

Learning objectives

  • Differentiate eˣ, aˣ, ln x and logₐ x, and combine these rules with the chain, product and quotient rules.
  • Use the laws of logarithms to simplify a function before differentiating it.
  • Interpret the derivative of an exponential model as a rate of growth or decay.

What's inside

  • 40 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 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 Unit 2

All Grade 12 Mathematics lessons

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).

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