Skip to main content
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.

Unit 2 · Lesson 7 · Derivatives

Preview

Derivatives of Exponential and Logarithmic Functions — Slide 1
  • Derivatives of Exponential and Logarithmic Functions — Slide 4
    Slide 4
  • Derivatives of Exponential and Logarithmic Functions — Slide 10
    Slide 10
  • Derivatives of Exponential and Logarithmic Functions — Slide 17
    Slide 17
  • Derivatives of Exponential and Logarithmic Functions — Slide 18
    Slide 18
  • Derivatives of Exponential and Logarithmic Functions — Worksheet, page 1
    Worksheet, page 1
  • Derivatives of Exponential and Logarithmic Functions — Answer key, page 1
    Answer key, page 1

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 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.