(M3E11) [Microeconomics] Envelope Theorem and Roy's Identity - Part 1

In the next two episodes I introduce an important concept, known as Envelope Theorem. It is a highly useful concept to prove several important theorems (claims) in economics. The next expisode shows how we use Envelope Theorem to prove Roy's Identity.
Important Note for Navigating Lecture Videos: Watching lecture videos with a proper order is important for effective learning. This is true because the concepts in each video is built over the ones that are introduced in “previous” videos. For this reason, I strongly recommend you watch the videos through playlists. Alternatively, you may visit my website www.ozyurtselc... for a recommended course outline.
This recommended course outline offers an ordered list of lecture videos, which I follow in my Microeconomic theory courses. Depending on your interest and objectives, you may prefer to skip some of the videos. For more user-friendly navigation I’ve tagged each video in this list by “Intermediate” or “Advanced.”
Most of the videos require some background in microeconomics (e.g., introduction to microeconomics). If you are looking for in depth understanding of the concepts of Microeconomic theory or a second-year college student, then you should watch videos that are tagged “Intermediate.” If you want some extra challenge, a fourth-year college student, or a Master student, then you can watch all the videos on this list, including the ones that are tagged “Advanced.”
If you are a PhD level student, then the videos on this list would be perfect resources for refreshing your knowledge or catching up with the rest of the class. For more information, please visit www.ozyurtselc....

[@alperaslan5865]

I got BA from Microeconomic Analysis with the help of many of your videos :) Now, it is the time for Mathematical Economic Analysis :)

[@geoffreycaleb9350]

I was so confused when the partial derivative answer came out wrong... i was like "Just watch the video, maybe it will make sense at the end." So I watched on, with confusion. And boy was I relieved when I heard you say oops... Thank you for this video

[@srishtymehra3383]

Nicely Explained!

[@yifangao-uc9mr]

thank u professor! Your contents help me go through midterms

[@daphneashba]

hocam mükemmelsiniz elinize sağlık 👍

[@ldb579932]

Is the first example, max f(x): f(x) = x^2 - cx, written correctly? This function doesn't have a max, only a min.

[@childes5692]

because we are optimising, it can max or min

[@mappalguys679]

someone knows their quadratics

[@cengizhanguler4994]

hocam çok çok teşekkürler, harikasınız.

[@kexinshao3082]

How nice you are! Thanks!