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Math Help - Just want clarification please for some derived function

  1. #1
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    Just want clarification please for some derived function

    First off is the composite rule same as the chain rule
    Second the derivative of each of the function f(x)= e^5x is it f'(x)=5e^5x and
    f(x)=cos(7x) is f'(x)=-7sin7x and are they solved by using the composite/chain rule
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  2. #2
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    Re: Just want clarification please for some derived function

    I had never seen the phrase "composite rule" but googling it, yes, it another name for the "chain rule"- used in Britain?

    And what you have for the derivatives of e^(5x) and cos(7x) are correct.
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  3. #3
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    Re: Just want clarification please for some derived function

    I have never heard the term "composite rule", but I imagine it would mean the chain rule. The chain rule is used to differentiate composite functions - where a function is defined in terms of other functions by applying one and then the other - like h(x) = f(g(x)).

    Your derivatives are correct, and in both cases they use the chain rule.

    - Hollywood

    P.S. HallsofIvy - you beat me to the answer!
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  4. #4
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    Re: Just want clarification please for some derived function

    While I am much more familiar with the term "chain rule", it makes perfect sense that it might be called the "composition rule", considering that it is used to differentiate compositions of functions...
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  5. #5
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    Re: Just want clarification please for some derived function

    Thank you everyone , yeah we/ you seem to do that quite often, have different term for the same things in maths and science. Of top of my head can't remember as I have a bad hangover .
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