Recently I was asked whether I could go over a visual proof of the Cauchy's Mean Value Theorem, as I had done for the Lagrange or simple version of the Mean Value Theorem (MFT). This was a very interesting question so I decided to go ahead and go over the graphical visualization of the theorem. In this video I show that the Cauchy or general mean value theorem can be graphically represented in the same way as for the simple MFT. The only difference is that the horizontal axis is not x, but a more general function of x, g(x). This difference causes the formulation to be more general, and the instantaneous slope to be formulated in the more general definition of the derivative, as shown in my last video. This is a very interesting topic to understand, but make sure to watch my earlier video on the general definition of derivative to get a better understanding of this!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtgYCYyHYoceOBojYA
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/cauchy-s-mean-value-theorem-visual-proof
Related Videos:
Definition of Derivative: More General Definition:
Cauchy's Mean Value Theorem - A simple proof:
Mean Value Theorem - A Simple Proof:
Mean Value Theorem: Corollary Theorems: .
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
Google Plus: https://mes.fm/gplus
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
▶️ DTube
▶️ IPFS
I don't always go over Cauchy's Mean Value Theorem but when I do I usually visually prove it using a general function as the horizontal axis ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/cauchy-s-mean-value-theorem-visual-proof
Bhai Martha kharab mat kar..don't spoil mind
Hai, halo @teamunique.. Welcome di Steemit! Suka melihat anda kumpul.. telah kami upvote ya.. 😋 (Sekelumit kontribusi kami sebagai witness untuk komunitas Steemit bahasa Indonesia.)
Hai, hello @teamunique.. Selamat kumpul di Steemit! Senang melihat anda join di sini.. telah diupvote yah.. 🙂 (Sedikit kontribusi kami sebagai witness di komunitas Steemit bahasa Indonesia.)