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Math Help - Composite rule help

  1. #1
    Newbie
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    Composite rule help

    Hi There,
    Just looking for some help using the composite rule - I'm finding it confusing!

    if I have the function f(x)= e(cos(x))

    would my answer be e(cos(x))(-sin(x))

    this seems logical to me following the composite rule, but for some reason it doesn't feel quite right.

    any help would be awesome

    D
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    I'm pretty sure the function is f(x)=e^{\cos x}, so yes, it's correct if my thoughts are right.
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  3. #3
    MHF Contributor
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    Just in case a picture reassures (as it always does me)...



    Straight lines differentiate (down) with respect to x, the straight dashed line is differentiating with respect to the inner (dashed balloon) function, so that, generally...




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    Don't integrate - balloontegrate!

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