Shortest Distance Between Two Points (6.2)

In this video, I use the calculus of variations to prove that the shortest distance between two points is along a straight line.

[@sholawilliams426]

Thank you so much really detailed explanation...I love it 😁💯💯

[@frank95xxx]

This solves the problem for functions, but what about curves that connect 2 points and aren't functions? For that type of curves you can't use the same equation for the calculation of the length.

[@nnacademy5398]

Please solve for 3D (6.3 problem).

[@jeanjules8660]

very nice and concise!!

[@orchieskarma]

Should constant "c" be different from 1? Why?

[@ayoubsaleh2031]

Because u can't divide by 0

[@goldenkey2239]

y'/sqrt(1+(y')^2) is greater than -l and less than 1. Therefore constant "c" can't be 1

[@harshitashonak5329]

There should be c^2

[@internetinternet8251]

Love from India