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Math Help - help finding a derivative

  1. #1
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    help finding a derivative

    i got a big final exam coming up tomorrow, and i feel like im in big trouble. this was on the practice exam, and i want to make sure i understand it (there will be more to come throughout the rest of the night , im sure)

    find the derivative of
    3x^(sin(x^2))

    can someone walk me through that so i understand it; thanks a ton
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  2. #2
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    Quote Originally Posted by twostep08 View Post
    i got a big final exam coming up tomorrow, and i feel like im in big trouble. this was on the practice exam, and i want to make sure i understand it (there will be more to come throughout the rest of the night , im sure)

    find the derivative of
    3x^(sin(x^2))

    can someone walk me through that so i understand it; thanks a ton
    You can change the equation in terms to natural log.
    So lny=sinx^2 ln3x?
    then just differentiate it normally, so y'=y(dy/dx(sinx^2 ln3x))
    Last edited by firebio; December 16th 2009 at 08:36 PM.
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  3. #3
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    ok..im very close to the answer i think...i got the right hand side to be what it should be...however im missing the 3x^sin(x^2) factor..

    would i be right in using implicit differentiation to finish it off? i mean if i use the log approach, i would get 1/y * y' on the left. then multiply both sides by y, and plug in what we know y equals, because that is the answer to the problem. i just dont know if im taking any lberties i shouldnt be
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  4. #4
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    nevermind, i think i understand your notation to mean that im right
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