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Math Help - Find derivative of y when....

  1. #1
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    Find derivative of y when....

    http://i39.tinypic.com/nnqgk8.jpg

    I got something close to the second choice but not exact.
    Can you show how you got it?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by janedoe View Post
    http://i39.tinypic.com/nnqgk8.jpg

    I got something close to the second choice but not exact.
    Can you show how you got it?
    y=\sin\!\left(x+y\right)

    By implicit differentiation [and chain rule], we have \frac{\,dy}{\,dx}=\cos\!\left(x+y\right)\cdot\left  (1+\frac{\,dy}{\,dx}\right)\implies \frac{\,dy}{\,dx}=\cos\!\left(x+y\right)+\cos\!\le  ft(x+y\right)\frac{\,dy}{\,dx}

    Can you finish off the problem?
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