Chapter 2.12
Derivative of logarithmic functions
What You'll Learn
Apply the logarithmic differentiation formula for logs with arbitrary bases
Identify and use the natural log base e to simplify derivative calculations
Calculate derivatives of natural log functions using the formula d/dx(ln x) = 1/x
Apply the chain rule when differentiating log functions with composite arguments
Simplify logarithmic derivatives involving trigonometric and polynomial expressions
What You'll Practice
1
Finding derivatives of log functions with various bases like log(x)
2
Differentiating common logs and natural logs of trigonometric functions
3
Applying chain rule to natural log of polynomials and composite expressions
4
Simplifying complex derivatives involving radicals and natural logarithms
Why This Matters
Mastering derivatives of logarithmic functions is essential for calculus success. You'll use these techniques throughout differential calculus, optimization problems, and growth/decay models in science and economics. Natural log derivatives are particularly powerful for simplifying complex differentiation problems.
This Unit Includes
3 Video lessons
Practice exercises
Learning resources
Skills
Logarithmic Differentiation
Natural Logarithm
Chain Rule
Power Rule
Trigonometric Derivatives
Calculus
Derivatives
