CHAIN RULE PROOF (DERIVATIVE OF COMPOSITE FUNCTION) #40

NCERT CLASS 11 MATHS solutions
NCERT CLASS 12 MATHS solutions
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CLASS 11
SETS :
• SETS ( NEW )
RELATIONS AND FUNCTIONS :
• RELATIONS AND FUNCTION...
TRIGONOMETRY :
• TRIGONOMETRY ( NEW )
PRINCIPAL OF MATHEMATICAL INDUCTION :
• PRINCIPLE OF MATHEMATI...
COMPLEX NUMBERS
• COMPLEX NUMBERS AND QU...
LINEAR INEQUALITIES
• LINEAR INEQUALITIES
PERMUTATIONS AND COMBINATIONS :
• PERMUTATIONS & COMBINA...
BINOMIAL THEOREM
• BINOMIAL THEOREM
SEQUENCE AND SERIES
• SEQUENCE AND SERIES
STRAIGHT LINES
• STRAIGHT LINES ( NEW )
CONIC SECTION
• CONIC SECTION ( NEW )
3D GEOMETRY
• 3D GEOMETRY
LIMITS AND DERIVATIVES
• LIMITS
MATHEMATICAL REASONING
• MATHEMATICAL REASONING
STATISTICS
• STATISTICS
PROBABILITY
• PROBABILITY

CLASS 12

RELATIONS AND FUNCTIONS
• CARTESIAN PRODUCT OF S...

INVERSE TRIGONOMETRIC FUNCTIONS
• LEARN DEFINITION OF IN...

MATRICES
• WHAT IS MATRIX (DEFINI...

DETERMINANTS
• DETERMINANTS || DEFINI...

CONTINUITY AND DIFFERENTIABILITY
• CONTINUITY & DIFFERENT...

APPLICATIONS OF DERIVATIVES
• WHAT IS RATE MEASURE |...

INTEGRATION
• INTEGRATION (NEW)

APPLICATIONS OF INTEGRATION
• APPLICATIONS OF INTEGR...

DIFFERENTIAL EQUATIONS
• HOW TO FIND ORDER AND ...

VECTOR ALGEBRA
• VECTOR ALGEBRA

THREE DIMENSIONAL GEOMETRY
• 3D GEOMETRY

LINEAR PROGRAMMING
• LINEAR PROGRAMMING PRO...

PROBABILITY
• PROBABILITY ( CLASS 12 )

[@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 !

[@Vr-kl6yl]

Thank sir

[@buddalanagasathibabu6853]

Thank you so much, 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?

[@anshusharma4020]

Great

[@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

[@ashike-learning3172]

Worth explanation bro