Exponential Function

Definition — what eˣ is, inverse relationship with ln, basic values Algebraic Properties — product, quotient, power, negative exponent rules Equations & Inequalities — solving with eᵃ = eᵇ and eˣ = a, with substitution tricks Limits — at −∞, +∞, growth dominance (eˣ/x), decay (xe⁻ˣ) Derivatives — (eˣ)' = eˣ, chain rule, product & quotient examples Integrals — ∫eˣ dx and ∫u'eᵘ dx with worked examples Table of Variations & Graph — key points, asymptote, concavity, reflection with ln x Quick Reference Table — all 16 key formulas in one place