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Math Help - Please show me the steps to differentiate this function

  1. #1
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    Please show me the steps to differentiate this function

    Hello,

    Could someone please show me the steps you would follow to differentiate the following function:

    xy^2 - 2y = x + 5


    Thanks,

    Alex
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  2. #2
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    Quote Originally Posted by alex95 View Post
    Hello,

    Could someone please show me the steps you would follow to differentiate the following function:

    xy^2 - 2y = x + 5


    Thanks,

    Alex
    Do you know implicit differentiation? Or if you are in calc 3 you can use another method. Where are you in your Calculus?
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  3. #3
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    Calc 1

    Thanks,

    Alex
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  4. #4
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    Quote Originally Posted by alex95 View Post
    Calc 1

    Thanks,

    Alex
    xy^2 - 2y = x + 5

    1\cdot y^2+x2yy')-2y'=1" alt="\text{product rule}1\cdot y^2+x2yy')-2y'=1" />

    Isolate y'

    \displaystyle 2xyy'-2y'=1-y^2\Rightarrow y'(2xy-2)=1-y^2\Rightarrow y'=\frac{1-y^2}{2xy-2}
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