Mastering Differentiability: Essential Tools for Every Calculus and Real Analysis Student

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Ever get that "smooth feeling" from a function in calculus or real analysis? It's not magic, it's differentiability! This video unlocks its secrets, equipping you with powerful tools to analyse functions like never before.

Whether you're a calculus student facing your first derivative or a seasoned real analysis explorer, join us on a deep dive into differentiability. We'll master its essence, clarify continuity vs. differentiability, and see its real-world applications.

Timestamps guide you through key sections like "Continuity & Differentiability Explained" and "Beyond Tangents: Practical Examples." And remember, this is just the beginning! Subscribe for more advanced math explorations.

00:00 Intro
00:23 Definition ( Differentiable function at point)
00:49 Example I ( f(x)=x )
02:04 Example II ( f(x)= |x| )
04:57 Key point
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Walekum assalam
Jazakallah ✨
Alhamdulillah amazing explanation sir!

samiahadi
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Sir G you have one mistake.
When limit doesn't exist.
According to continue function definition the function is discontinue.
But actually the absolute function is continuous everywhere.

monibkhattak
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According to my point of view the function is continuous but not differentiable.

monibkhattak
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Does he speak english ? I can't tell

anton