In this video I demonstrate how to show that a=v*(dv/dx)=d((1/2)*v^2)/dx is true in mechanics. If you'd like to know how to derive the basic mechanics formulas featured in this video, visit the two links below: 1) How to Derive 5 Most Fundamental Mechanics Formulas from Scratch [A Level Mathematics] - https://youtu.be/u4-cATtlVMQ 2) Kinematics: How to derive mechanics formulas with rates of change with respect to time - https://youtu.be/nMyF1DMB5R8 To derive the differentiation rule to get the last part of this proof, I would recommend watching this video: How to show that d(ay^n)/dx = nay^(n-1)*dy/dx (Implicit Differentiation, Chain Rule) - https://youtu.be/slgcxCAEyCw For more mathematics proofs videos, ensure you are subscribed to my channel because I'll be creating more content. For extra mathematics proofs and algebra support, visit the Instagram page below: https://www.instagram.com/mathematics.proofs You can follow me on social media at: *https://www.instagram.com/tiago_hands *https://www.twitter.com/tiago_hands Thanks for watching!! ... https://www.youtube.com/watch?v=ONq14DUU6gE

Seed of Life - Geometric Construction Background credits: https://pixabay.com/photos/ngc-2264-dark-cloud-cone-nebula-11176/ This video was created by: https://www.twitter.com/tiago_hands For more mathematics content, check out: https://www.threads.net/@mathematics.proofs https://www.instagram.com/mathematics.proofs Thanks for watching this video and make sure you have subscribed if you want to see more videos like this! ... https://www.youtube.com/watch?v=UIbQSwm1r_k