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    Hi please some one help me with the attached differentiation problem?

    I get a bit confused in recognizing if it is a chain rule or product rule


    I am aware if it is a chain rule then it has to be a function of a function


    Thanks Zamzam
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    (Original post by zamzam)
    Hi please some one help me with the attached differentiation problem?

    I get a bit confused in recognizing if it is a chain rule or product rule


    I am aware if it is a chain rule then it has to be a function of a function


    Thanks Zamzam
    definitely a product rule
    each term has a mini chain which most people can do on the spot.
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    If it is a product of two functions, say  x^2 e^x you would use the product rule.
    If it is a function of a function, say  \sin (e^{x^3})  , you would use chain rule.
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    Product rule is when its a function times a function. Chain is when there is a function in a function that you can't do normally.

    This would be a product rule, as e^(x/2) x sin(3x)

    Is effectively that function, as you can see it is two functions multiplied by each other to form a product.
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    (Original post by Dinasaurus)
    Product rule is when its a function times a function. Chain is when there is a function in a function that you can't do normally.

    This would be a product rule, as e^(x/2) x sin(3x)

    Is effectively that function, as you can see it is two functions multiplied by each other to form a product.
    Surely it's chain rule to differentiate e^(x/2), chain rule to differentiate sin(3x) and then use those values in the product rule. Or am I missing something?
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    (Original post by RayApparently)
    Surely it's chain rule to differentiate e^(x/2), chain rule to differentiate sin(3x) and then use those values in the product rule. Or am I missing something?
    I think most of the time, those are seen as standard differentials. Like you can use chain rule but I think most people know what it is without the method?
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    (Original post by Dinasaurus)
    I think most of the time, those are seen as standard differentials. Like you can use chain rule but I think most people know what it is without the method?
    Oh yeah I guess so lol
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    sadly I have been expelled ....
 
 
 
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