Thanks so much for watching! 😊 Check out my analogous video on Rolle's Theorem (statement, intuition and proof), which we use to prove the Mean Value Theorem in this video 🎁 ua-cam.com/video/3QOgOEpId0s/v-deo.htmlsi=XEdUwUBdFf8DcvvW Like ✅ + Subscribe 🤩 for many cool calculus proofs, and to deeply understand calculus beyond the calculations! 🥳
Hi @shubhankar2811 thanks so much for your comment! 😊 Sadly, I can't speak Hindi 😅 Thanks for watching and commenting, and I hope you have an amazing day/evening/night! 😊
Let’s say you were traveling in a 🚗 car, down a long, straight stretch of road. Let’s also say that, just ahead, a 1-mile stretch is marked off, which includes a HALF-mile marker. If you were already traveling at 16 mph on the moment you were next to the START line, and ¥======¥=====🚗 succeeded to uniformly accelerate to 80 mph SO AS TO be traveling AT 80 mph on the moment when you reached the FINISH 🚗=====¥====== line, then, on the moment that you reached the half-way ¥=====🚗=====¥ marker, you would be traveling 48 mph. On the moment that you reached the half-way marker, not only would 48 mph be your *instantaneous speed,* but 48 mph would also represent your *average speed,* across the entire ¥======¥======¥ 1-mile course.
Hi @JohnBerry-q1h thank you so much for sharing! 😊 Yes, that is a beautiful and amazingly detailed explanation of an important instance of the mean value theorem in action, which in your case is applied to the linear function f(x) = 16 + 64x on the interval [0, 1]! Thank you so much for sharing this and the beautiful pictures and real-world description, which I really love! 🥳 I hope you have an amazing day/evening/night and Happy New Year!!! 🥳🎉🎊
Thanks so much for watching! 😊 Check out my analogous video on Rolle's Theorem (statement, intuition and proof), which we use to prove the Mean Value Theorem in this video 🎁 ua-cam.com/video/3QOgOEpId0s/v-deo.htmlsi=XEdUwUBdFf8DcvvW
Like ✅ + Subscribe 🤩 for many cool calculus proofs, and to deeply understand calculus beyond the calculations! 🥳
Good afternoon sir
Will you make videos in hindi in future ??
Just asking sir ?
❤️❤️
Hi @shubhankar2811 thanks so much for your comment! 😊 Sadly, I can't speak Hindi 😅 Thanks for watching and commenting, and I hope you have an amazing day/evening/night! 😊
Let’s say you were traveling in a 🚗 car, down a long, straight stretch of road. Let’s also say that, just ahead, a 1-mile stretch is marked off, which includes a HALF-mile marker. If you were already traveling at 16 mph on the moment you were next to the START line, and
¥======¥=====🚗
succeeded to uniformly accelerate to 80 mph SO AS TO be traveling AT 80 mph on the moment when you reached the FINISH
🚗=====¥======
line, then, on the moment that you reached the half-way
¥=====🚗=====¥
marker, you would be traveling 48 mph. On the moment that you reached the half-way marker, not only would 48 mph be your *instantaneous speed,* but 48 mph would also represent your *average speed,* across the entire
¥======¥======¥
1-mile course.
Hi @JohnBerry-q1h thank you so much for sharing! 😊 Yes, that is a beautiful and amazingly detailed explanation of an important instance of the mean value theorem in action, which in your case is applied to the linear function f(x) = 16 + 64x on the interval [0, 1]! Thank you so much for sharing this and the beautiful pictures and real-world description, which I really love! 🥳 I hope you have an amazing day/evening/night and Happy New Year!!! 🥳🎉🎊