Small practice
brighter futures.
Checking sign-in status
Menu

Calculus practice

Exponential and Logarithmic Derivatives worksheets

Differentiate base-e, general-base, and logarithmic functions with chain, product, and quotient rules.

Ready-made English PDF · fixed settings

Worksheet · LetterWorksheet · A4
Customize worksheet ↓
With answer key

Customization below makes a separate PDF.

First page of the exponential and logarithmic derivatives worksheets printable worksheetOpen full-size sample (first page)

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

Differentiate base-e, general-base, and logarithmic functions with chain, product, and quotient rules.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
Customize this worksheet

Paper sizes and printing help · More calculus activities

Method, assumptions, and units stay visible

Each generated problem includes bounded solvable givens. Worked pages show the theorem, formula, substitution, or physical slice used to reach the result.

Learning objective

What this activity builds

Differentiate exponential and logarithmic expressions while preserving domains.

Worked example

What must be shown in a derivatives solution?

The governing formula, substituted givens, and a labeled conclusion.

The worked key keeps the mathematical method visible rather than displaying only a result.

Teaching notes

Make the practice count

  • Keep units or domains beside each line.
  • Ask students to name the theorem or formula before substituting.
  • Distinguish exact values from labeled approximations.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Choose the mathematical families and response modes. Keep the seed to reproduce the same givens and worked key.

Worksheet settings

Function bases
Rule mix
Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out.

Configured PDF · Exponential and Logarithmic Derivatives · US Letter

Preview ready. Download includes these exact pages.

3 student pages
Enlarged pages scroll. PDF size stays the same.
Math SheetNameScoreTeacherDateExponential and Logarithmic DerivativesDifferentiate directly, show the rule structure, and state the real domain for logarithmic expressions.1.Differentiate y=(4^x)/x.2.Differentiate y=x^3 ln(x+3). Domain: x>-3.State assumptions, domains, units, and approximation methods.math-sheet.comPage 1 of 3
Math SheetNameScoreTeacherDateExponential and Logarithmic DerivativesDifferentiate directly, show the rule structure, and state the real domain for logarithmic expressions.3.Differentiate y=(ln(x+8))/x. Domain: x>-8.4.Differentiate y=x^3 7^x.State assumptions, domains, units, and approximation methods.math-sheet.comPage 2 of 3
Math SheetNameScoreTeacherDateExponential and Logarithmic DerivativesDifferentiate directly, show the rule structure, and state the real domain for logarithmic expressions.5.Differentiate y = e^(12x+5).6.Differentiate y = ln(11x+11) and state its real domain.State assumptions, domains, units, and approximation methods.math-sheet.comPage 3 of 3

A useful next step

Related activities