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Math Help - differentiate trig

  1. #1
    Newbie
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    Sep 2008
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    Exclamation differentiate trig

    differentiate:

    y= 1+sin x / (x+ cos x)

    I dont know how to do this one...can someone help me out?
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  2. #2
    Junior Member
    Joined
    Sep 2008
    Posts
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    given the quotient rule which states \frac{d}{dx}f(x) when f(x)=\frac{g(x)}{h(x)} is equal to \frac{g'(x)h(x)-g(x)h'(x)}{(h(x))^2}

    therefore:

     g(x)=1+\sin(x), h(x)=x+\cos(x)

    so

    y'=\frac{(0+\cos(x)*1)(x+\cos(x))-[(1+\sin(x))(1*x^0-\sin(x)*1)]}{(x+\cos(x))^2}<br />

    You can leave it like that or expand it out.
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