Finding the slope of a tangent line as a limit of secant lines.
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YouTubeZak's Lab
Finding the slope of a tangent line as a limit of secant lines.
The tangent line problem is the first big goal of Calculus: finding the slope of a tangent line to a function f(x) at x=a. To tackle the tangent line problem, we start with the slope of a secant line on the interval [a,x]. We take the limit as x approaches a, and we see that the slope of the secant line approaches the slope of the tangent line ...
15.9K viewsFeb 25, 2024
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