Chapter 2 - The Derivative - 2.2 The Derivative Function - Exercises Set 2.2 - Page 134: 56

Continuity means the function has no abrupt changes in behavior and can be proved through the limits of a function. Differentiability means that the derivative of the function can be taken at that point with continuity being a requirement along with the requirement that the limit of the derivative exists at that point.

Continuity means the function has no abrupt changes in behavior and can be proved through the limits of a function. Differentiability means that the derivative of the function can be taken at that point with continuity being a requirement along with the requirement that the limit of the derivative exists at that point.