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Thursday, August 30, 2018

Seeing how a secant line 'becomes' a tangent line, using a limit

Desmos has a very nice Applet that allows us to play with a curve and its secant and tangent lines. We can play with it to see what needs to be done, using the notion of a limit, to get a secant line to become a tangent line. Tangent lines define the slope of a curve at a specific point on that curve, and is the heart and soul of derivatives (differential calculus)!

If you are not familiar with it, Desmos is one of the good math sites for graphing and manipulating just about any function or dataset you will ever see.

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