Author:
c o

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.

Tutorial

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.

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

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