Premium Only Content

Differentiability and Continuity of Function, Rates of Change, Visual Proof, Example - Calculus
This video explains how differentiability implies continuity (3 conditions) of a function (e.g. composite or complex), including a basic introduction and visual proof using graphs and the limit formula, how to know if a function is differentiable at a point or when a function is not differentiable by first principles, and worked example practice questions. This topic is typically covered in class 11 or 12 maths. Understanding this topic is crucial to the chain, product and quotient rules, evaluating the derivatives of functions like sin, e^x, log and applying other differentiation rules.
📌 Worksheets are provided in PDF format to further improve your understanding:
- Questions Worksheet: https://drive.google.com/file/d/1-IfxXvhpMp43qxNG-21ZtIPqO4WMuvOk/view?usp=drive_link
- Answers: https://drive.google.com/file/d/1nchFi76DuCzBIx0TWesDVjlUz0qvNG7o/view?usp=drive_link
📌 Chapters on What You’ll Learn:
00:00 Differentiability and continuity
02:03 Worked example
📌 Perfect for calculus students and exam preparation, this tutorial uses plenty of examples and easy-to-follow explanations.
👉 Make sure to check out our full Calculus 1 and 2 course playlist, which covers differentiation, integration, sequences and series and their applications!
– Don’t forget to Like, Share & Subscribe for more easy-to-follow Calculus tutorials.
🔴Subscribe: https://rumble.com/user/drofeng
What part of Differentiation (Definition and Fundamental Properties) gave you the most difficulty? Comment below!👇
_______________________
⏩Playlist Link: https://rumble.com/playlists/Ptm8YeEDb_g
_______________________
💥 Follow us on Social Media 💥
🎵TikTok: https://www.tiktok.com/@drofeng?lang=en
𝕏: https://x.com/DrOfEng
🥊: https://youtube.com/@drofeng
-
LIVE
The Mel K Show
1 hour agoMORNINGS WITH MEL K -Armor of God: Humanity Must Choose their Destiny 10-6-25
625 watching -
LIVE
LFA TV
17 hours agoLIVE & BREAKING NEWS! | MONDAY 10/6/25
4,182 watching -
LIVE
Trumpet Daily
55 minutes agoTrumpet Daily LIVE | October 6, 2025
301 watching -
Tudor Dixon
2 hours agoRep. Tim Burchett on the Government Shutdown & Leadership Crisis | The Tudor Dixon Podcast
50 -
DVR
Bannons War Room
7 months agoWarRoom Live
39.5M9.13K -
1:01:24
VINCE
3 hours agoDomestic Terrorism Is Spreading, And Fast | Episode 140 - 10/06/25
132K149 -
40:58
Clownfish TV
6 hours agoHollywood is BROKE and JOBLESS?! Animation Most Affected! | Clownfish TV
8.84K8 -
2:02:27
Benny Johnson
2 hours agoTrump Deploys National Guard to Chicago as Democrat Leader Caught CALLING For Murder of Republicans
32.6K37 -
LIVE
Caleb Hammer
13 hours ago$300,000 Of Debt To "Flee Trump’s America" | Financial Audit
177 watching -
12:37
The Big Mig™
3 hours agoNow We Know Why They Raided Mar A Lago!
11.4K10