The Closest Point on a Curve to a Given Point: Combing Calculus And Geometry

From a channel Lumen includes in full: MathTheBeautiful (Pavel Grinfeld, a Drexel maths professor) teaches linear algebra, tensor calculus and calculus with a focus on geometric intuition and rigour.

A 15-minute video from MathTheBeautiful's catalogue; the title names its topic.

Video by MathTheBeautiful, played through YouTube's embedded player.