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Slope At A Point

Slope At A Point

Author: c o
Description:

To think about the concept of "slope at a point" along a curve
To look at lines tangent to curves and to relate them to "slope at a point"
To consider how we might calculate the slope of a line tangent to a curve

This lesson discusses lines tangent to curves and ponders how we might calculate the slopes ofthese lines.

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Tutorial

Prerequisites

This packet should be studied after first learning the basics of limits.  You should also be very comfortable with the concepts of slope and with the graphing of lines in the plane.

Slope At A Point and Tangent Lines

This video looks at the slope of lines tangent to arbitrary functions at different points, and begins considering how these slopes might be found.

Calculating Slope Of The Tangent Line

We demonstrate how we can thinking the slope of the tangent line as a limit of secant lines.