This lesson builds upon the previous lesson on derivatives by introducing tangent lines to curves. The concept of secant lines is used to approximate the slope of the tangent line at a given point, which can be made more precise by taking the limit as the distance between the two points approaches zero. The formula for the slope of the tangent line is introduced, and an example problem is solved step-by-step to find the slope of the tangent line to a given curve at a specific point. By the end of the lesson, viewers will have a solid understanding of how to calculate the slope of tangent lines to curves.
An introduction to derivatives and tangent lines to curves.
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