Intermediate and Mean Value Theorem

Analyzing the different instances where a derivative does not exist. Applying the Intermediate Value Theorem and the Mean Value Theorem to show differentiability implies continuity.

Mapped to AP College Board # FUN-1.A, FUN-1.A .1

Explain the behavior of a function on an interval using the Intermediate Value Theorem. If f is a continuous function on the closed interval [a, b] and d is a number between f(a) and f(b), then the Intermediate Value Theorem guarantees that there is at least one number c between a and b, such that f(c) = d.