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1. how would you differentiate

y=sin(In x)

what rule would you use and why?
2. (Original post by HelloImCool)
how would you differentiate

y=sin(In x)

what rule would you use and why?
Chain because you have a function inside a function.

Bonus points if you spot what function is inside which.
3. (Original post by RDKGames)
Chain because you have a function inside a function.

Bonus points if you spot what function is inside which.
thank you .
ln x is inside sin ? idk lol

If you don't mind , could you tell me when to use the 3 rules because the responses i get from this forum are totally different from my teacher .

kind regards,
4. (Original post by HelloImCool)
thank you .
ln x is inside sin ? idk lol
Exactly.

If you don't mind , could you tell me when to use the 3 rules because the responses i get from this forum are totally different from my teacher .
The names are self-explanatory.

You use the product rule when you wish to differentiate an expression that is a PRODUCT of two functions in the form , e.g. , or

You use the quotient rule when you wish to differentiate an expression that is a QUOTIENT of two functions in the form , e.g. , or

You use the chain rule when you wish to differentiate an expression that is a COMPOSITION of two functions in the form , e.g. , or

Is this not what your teacher said...?

P.S. The quotient rule can often be avoided by simply rewriting as and then using the product rule + chain rule. I.e.
5. (Original post by RDKGames)
Exactly.

The names are self-explanatory.

You use the product rule when you wish to differentiate an expression that is a PRODUCT of two functions in the form , e.g. , or

You use the quotient rule when you wish to differentiate an expression that is a QUOTIENT of two functions in the form , e.g. , or

You use the chain rule when you wish to differentiate an expression that is a COMPOSITION of two functions in the form , e.g. , or

Is this not what your teacher said...?

P.S. The quotient rule can often be avoided by simply rewriting as and then using the product rule + chain rule. I.e.

My teacher only said use product rule for 2 functions of x and if you see a division is quotient rule

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