When you first learn about Lagrange Multipliers, it may feel like magic: how does setting two gradients equal to each other with a constant multiple have anything to do with finding maxima and minima? Here's a visual explanation. ~~~ This video was funded by Texas A&M University as part of the Enhancing Online Courses grant. ~~~ The animations in this video were mostly made with a homemade Python library called "Morpho". You can find the project here: