Inequality Proofs with the Mean Value Theorem | MVT Applications

Hi! I'm Mateo Patiño, and I record math and physics videos. Most of my content is based on problem walkthroughs and mini-lectures where I discuss a particular concept. Feel free to subscribe if you like the content or give me any feedback on things you'd like me to improve! 🍎
In this video, I will show you how to prove some statements about derivatives, functions, and inequalities using the Mean Value Theorem.
Don't hesitate to ask me any questions 😃
The content of this video is based on the materials from MIT's 18.01 Single Variable Calculus course by Professor David Jerison, which is available on MIT OpenCourseWare (ocw.mit.edu). The course materials, including lectures, problem sets, and exams, are licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (CC BY-NC-SA 4.0).

[@nicolascamargo8339]

Muy clara la explicación excelente

[@efegulcek9024]

luv u man you've been very helpful at my midterms

[@meesveldstra2794]

Ty for the video mate, really helped me for my Calc finals :D

[@nymph6282]

a function can be decreasing but be still positive so why does the derivative have to be positive?

[@Karelpieter]

just in this case it is so

[@Karelpieter]

if your case you wouldnt use mean value theorem