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Math Help - implicit diff.

  1. #1
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    implicit diff.

    Ok, the question is: Find dy/dx by implicit differentiation.
    (x^2)(y^2) + x sin y = 7

    I tried and didn't get it right.

    So, I used product rule first for (x^2)(y^2) and the same for xsiny.

    (x^2)(2y dy/dx) + (y^2)(2x) + x(cosy dy/dx)+ siny = 0

    For the part with the cosy dy/dx, I wasn't sure if I did that right. Should I have the dy/dx there like that? Is there anything else wrong from this point on?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by kwivo View Post
    Ok, the question is: Find dy/dx by implicit differentiation.
    (x^2)(y^2) + x sin y = 7

    I tried and didn't get it right.

    So, I used product rule first for (x^2)(y^2) and the same for xsiny.

    (x^2)(2y dy/dx) + (y^2)(2x) + x(cosy dy/dx)+ siny = 0

    For the part with the cosy dy/dx, I wasn't sure if I did that right. Should I have the dy/dx there like that? Is there anything else wrong from this point on?
    nope, this seems right so far. your mistake was probably made when you tried to solve for dy/dx

    try again
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  3. #3
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    Oh wait, I got it! Thanks anyway.
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