a crazy tangent no one’s even heard of. Here's an amazing calculus fact you didn't know: If you have a cubic polynomial with three roots, then the tangent line at the midpoint of the first two roots has to go through the third root. This is useful in the design of projectiles and missiles, as well as for fox hunting. It uses the tangent line definition using derivatives and some simple algebra. A must-see for college calculus students and geometry and graph lovers

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