How to find the slope of a tangent line using the definition of derivative

The video tutorial explains how to identify the slope of an equation by using the limit definition of a derivative. It starts with defining the functions f(x) and f(x+h), then expands the binomial using the FOIL method. The tutorial proceeds to simplify the limit expression and concludes by determining the slope as a function of 2x. The process emphasizes the importance of understanding binomial expansion and limit simplification.

Describe the process of simplifying the limit expression as h approaches 0.

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What is the final result for the slope as a function, and why is it important?

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