Oxford Calculus: Finding Critical Points for Functions of Two Variables

University of Oxford Mathematician Dr Tom Crawford explains how to calculate the critical points for a function of two variables. Just as the critical points for a function of one variable are found by differentiation, the same techniques can be applied to a multivariable function to determine where it is stationary. We begin with a reminder of critical points for a function of one variable, before looking at partial differentiation of a multivariable function with a worked example. Part 2 on classifying the critical points: https://youtu.be/5M_ts8Q2LEM The 3D plots used in the video are all generated by the Maple Calculator App which you can download for free from Google Play and the App Store. Android: https://play.google.com/store/apps/details?id=com.maplesoft.companion&hl=en Apple: https://apps.apple.com/us/app/maple-companion/id1466659419 Find out more on the Maplesoft YouTube channel: https://www.youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-crawford For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. https://www.facebook.com/tomrocksmaths/ https://twitter.com/tomrocksmaths https://www.instagram.com/tomrocksmaths/ Get your Tom Rocks Maths merchandise here: https://beautifulequations.net/collections/tom-rocks-maths