The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line …

The derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point.

The big idea of differential calculus is the concept of the derivative, which essentially gives us the direction, or rate of change, of a function at any of its points. Learn all about derivatives and …

Learn about derivatives as the instantaneous rate of change and the slope of the tangent line. This video introduces key concepts, including the difference between average and …

Learn differential calculus—limits, continuity, derivatives, and derivative applications.

Unit 1 Limits and continuity Unit 2 Derivatives: definition and basic rules Unit 3 Derivatives: chain rule and other advanced topics Unit 4 Applications of derivatives Unit 5 Analyzing functions …

Partial derivatives are formally defined using a limit, much like ordinary derivatives. Created by Grant Sanderson.

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 …

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The derivative of a constant is always 0, and we can pull out a scalar constant when taking the derivative. Furthermore, the derivative of a sum of two functions is simply the sum of their …