CHAIN RULE PROOF (DERIVATIVE OF COMPOSITE FUNCTION) #40

[@morgard211]

Apart from the microphone earrape and crazy accent, I must thank you for this very easy-to-understand proof.

[@chawnneal3103]

The "aha" moment 5:42 when you did the red and green boxes! Thank you so much! I kept hearing: dy/dt = dy/dx*dx/dt and how its not exactly division and I was like okay, I've heard this too many times, I need to understand! thank you!

[@MaidaRabbani]

Jazak Allah

[@hridaymehta5782]

Amazing explanation sir, thanks !

[@buddalanagasathibabu6853]

Thank you so much, sir.

[@Vr-kl6yl]

Thank sir

[@dmosesraj]

How can you interchange h and g(h+x)-g(x) in the denominator

[@peterlohnes1]

by multiplying by 1. (g(h+x) - g(x)) /g(h+x) - g(x)) is simply 1. You are allowed to change any fraction by multiplying it by 1, to change denominators. Since both fractions are now multiplying/dividing, you can use communicative property to rearrange any numerator or denominator, which he has done, so that the left becomes the derivative of f(g(x)), and the right fraction becomes the derivative of g(x).

[@chillymonsterr]

@@peterlohnes1 what made you so sure that g(h+x) - g(x)) /g(h+x) - g(x)) is not zero?

[@shivanikushwah7714]

Sir tueber theorem ka vedio and plzz bu ke previous years exam ke objective ke right ans mil sakte h kya real analysis ke ans nahi pta hame

[@anshusharma4020]

Great

[@ashike-learning3172]

Worth explanation bro