Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Calculus I
Topic: Derivatives
Subtopic: Logarithmic Differentiation

Overview

We have found the derivative of a variable to a constant and the derivative of a constant to a variable, but in this lesson we tackle the derivative of a variable to a variable. This requires a process called logarithmic differentiation which requires applying the natural logarithm function and using implicit differentiation.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 2.8.1 Know when logarithmic differentiation is necessary
• 2.8.2 Understand how to differentiate a function logarithmically

Terminology

Terms you should be able to define: logarithmic differentiation

Mini-Lectures and Examples

rev. 2020-10-20