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Derivative of exponential and logarithmic functions

Exponential and logarithmic derivatives lesson in PowerPoint, deriving the rules for eˣ, aˣ, ln x and logₐ x before applying them to examples like e^(5x−4) and 4x − 5 log₉ x.
Grades
Grade 12, High School
File type
Microsoft PowerPoint
Use
Digital activity

Updated Oct 26, 2026

Subject
Math, Calculus
Topic
calculus, derivative
Resource types
Teacher Tools, Lesson Plans
Use
Digital activity

About this resource

What's inside this resource

PowerPoint presentation, 14 slides explaining how to find the derivative of any exponential and logarithmic function.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Differentiate exponential functions, including e^(kx) and e^f(x)
  • Differentiate natural and base-a logarithmic functions
  • Apply the chain rule to exponential expressions

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Resource details

Concepts & topics

Core concepts

  • Exponential functions
  • Logarithmic functions
  • Natural logarithm
  • Chain rule

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