Recalled Rolle's Theorem and used it to prove that a certain cubic equation has only one root. Then gave the generalization of Rolle's Theorem known as the Mean Value Theorem.
See Section 4.2 in Stewart for more details and examples on Rolle's Theorem and the Mean Value Theorem.
Started to talk about logarithms and exponents. Recalled the intuitive notion of a logarithm used in school, and "derived" two important properties of logarithms:
loga(uv) = loga(u) + loga(v)
loga(un) = n loga(u) .