In this video I go over an example on using calculus to find the tangents to parametric curves. This example has multiple parts to it, and in this video I solve Part 1 which involves determining the equations of multiple tangents lines at one specific point on a parametric curve. This is possible for parametric curves because multiple values of the parameter can give the same x and y coordinates. This is one of the cool features of parametric equations which allows some very amazing graphs to be drawn up. In later parts of this example, I will show how to use calculus to manually draw the rest of this parametric curve, so stay tuned!
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View Video Notes on Steemit: https://steemit.com/mathematics/@mes/parametric-calculus-tangents-example-1-part-1
Related Videos:
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I don't always find the slopes at a point on a parametric curve but when I do there's usually multiple tangents ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/parametric-calculus-tangents-example-1-part-1