Definition — what ln is, basic values (ln 1, ln e, ln eⁿ) Algebraic Properties — product, quotient, reciprocal, power rules + examples expanding/condensing ln and eˣ Relationship — inverse functions, solving equations Comparison Rules — inequalities using ln's increasing behavior Derivative of ln — (ln x)' = 1/x and chain rule, with worked examples Integrals — ∫(1/x)dx and ∫(u'/u)dx with examples Limits — at 0⁺, at +∞, and the special limit x ln x → 0⁻ Table of Variations & Graph — sign of f', key points, asymptote Quick Reference Table — every formula in one place
Ln Function
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