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Discover how to define the derivative of a function at a specific point using the limit of the slope of the secant line. We'll explore the concept of finding the slope as the difference in function values …

Explore the epsilon-delta definition of limits in calculus, as we rigorously prove a limit exists for a piecewise function. Dive into the process of defining delta as a function of epsilon, and learn how to …

This video introduces limit properties, which are intuitive rules that help simplify limit problems. The main properties covered are the sum, difference, product, quotient, and exponent rules.

Learn the basics of derivatives, including their definition, and understand how they represent instantaneous rates of change and slopes of tangent lines.

Explore the rigorous mathematical definition of a limit as x approaches c, and understand how to get f (x) as close to L as desired by finding a range around c. Dive into the epsilon-delta definition and its …

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- [Instructor] What we're going to do in this video is talk about the various types of discontinuities that you've probably seen when you took algebra, or precalculus, but then relate it to our understanding …