Continuity and Differentiability EXPLAINED with Examples

Learn the meaning behind Continuity and Differentiability. This video explains what Continuity is and the 3 rules for a function to be continuous at a point. Then we discuss what is needed for a function to be continuous on an interval. We also cover this topic with plenty of examples for each rule. Next, we explain Differentiability and the 1 rule for a function to be differentiable at a point. Similarly to Continuity, we then discuss how a function can be a differentiable on an interval. Once again, this concept is explained with a few examples. And don't miss our tips and tricks for determining the Continuity and Differentiability of a function!
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[@shivanidagar788]

So Crisp and clear, every teacher should teach like this !

[@braamohamed5540]

Man, All other videos explain tips and not explaining for understanding, you are doing great. You should continue sharing these amazing lessons

[@Explorer626]

This is the clearest explanation for differentiability I've heard.

[@alexandriafaydherbe44]

Explained so clearly and concisely!! I've watched so many other videos trying to piece together what each is saying to make sense of the concept, but you've just explained it all in one go so well. Thank you!

[@AceTutors1]

That's so amazing to hear! Thank you for your positive feedback!

[@geetRH]

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[@JKMath]

Glad to see another video! Lots of good examples! I always like to think of differentiability as the continuity of the derivative, which can be helpful if you know the derivative of a specific function in question. And I think your visuals help a lot with nailing that concept down!

[@AceTutors1]

Thank you so much! I actually always thought of differentiability as continuity of the derivative too, but in doing some research for this video, I actually found that it actually isn't! I came across this post showing a good counter-example to it! math.stackexchange.com/questions/2967587/what-is-the-difference-between-differentiability-of-a-function-and-continuity-of

[@JKMath]

@@AceTutors1 Interesting, I was not aware of that. Thanks for sharing!

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Found it super helpful
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[@AceTutors1]

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[@AceTutors1]

Thank you so much for your positive feedback! We will definitely upload more soon!

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[@AceTutors1]

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[@AceTutors1]

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[@AceTutors1]

We are working on getting some more videos out soon! Thanks for your support!

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