{"version":"1.0","type":"video","provider_name":"Puzzicle","provider_url":"https://puzzicle.org","title":"Proof for the meaning of Lagrange multipliers","width":800,"height":560,"thumbnail_url":"https://puzzicle.org/thumbs/x39e4f4907a5382bc.jpg","thumbnail_width":320,"thumbnail_height":180,"html":"<iframe src=\"https://puzzicle.org/embed/math/multivariable-calculus/v/proof-for-the-meaning-of-lagrange-multipliers\" width=\"800\" height=\"560\" style=\"border:0;max-width:100%\" allow=\"fullscreen; autoplay\" title=\"Proof for the meaning of Lagrange multipliers\"></iframe>"}