textbook-theory · English
Logarithmic Functions and Their Properties
A four-page calculus course handout covering the definition and properties of logarithmic functions of the form f(x) = log_a(x), including domain, asymptotes, and intercept behavior. It derives the differentiation formula d/dx(log_a x) = 1/((ln a)x) and applies the Chain Rule to composite expressions such as ln(x^2), ln(sin x), and ln|x|. The treatment is introductory and pedagogical, aimed at a first-year calculus audience with no specific analog-computer machine context.
logarithmic functionscalculusdifferentiationchain rule