Limits, Continuity & Derivatives

Build the single-variable calculus needed for later probability densities and estimation. Interpret limits, continuity and instantaneous rates, and apply power, product, quotient, chain, exponential and logarithmic differentiation rules. Prerequisites: algebra, functions and the preceding discrete probability topics. Diagnostic questions distinguish a limit from a point value and local behavior from global claims.

Further reading:

• Paul Dawkins: Continuity
• Paul Dawkins: Differentiation formulas
• Paul Dawkins: Chain rule

Cover: Photo by Pok Rie on Pexels.