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Math Help - implicit differentiation help

  1. #1
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    implicit differentiation help

    I got a complete different answer from any of the choices, can anyone lead me to the right direction as to get an answer to this?



    I ended up with xe^6x/cos(x+6y)-1/6, any help would be appreciated you thank :]

    same as this one,


    I ended up with e^x(x^2-2x+6)+e^x(2x-2)
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  2. #2
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    for the second one, factor e^x out, and combine like terms to get your answer
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  3. #3
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    Quote Originally Posted by tecknics View Post
    I got a complete different answer from any of the choices, can anyone lead me to the right direction as to get an answer to this?



    I ended up with xe^6x/cos(x+6y)-1/6, any help would be appreciated you thank :]

    same as this one,


    I ended up with e^x(x^2-2x+6)+e^x(2x-2)
    Outside of the x in red (above) I agree with you. For the second, factor and e^x and you'll see an answer given.
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  4. #4
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    i got the second one, rather easy dunno how i missed it, but as far as the first one goes im still lost :[
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  5. #5
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    Differentiating gives

     <br />
6 e^{6x} = \cos(x+6y)(1 + 6y')<br />

    so

     <br />
1+6y' = \frac{6e^{6x}}{\cos(x+6y)}<br />

    or

     <br />
y' = \frac{e^{6x}}{\cos(x+6y)} - \frac{1}{6}.<br />
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  6. #6
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    Quote Originally Posted by Danny View Post
    Differentiating gives

     <br />
6 e^{6x} = \cos(x+6y)(1 + 6y')<br />

    so

     <br />
1+6y' = \frac{6e^{6x}}{\cos(x+6y)}<br />

    or

     <br />
y' = \frac{e^{6x}}{\cos(x+6y)} - \frac{1}{6}.<br />
    Yes, i got that answer excluding my previous x, but its not an option on one of the given responses could the responses given to me be incorrect?
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