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Math Help - implicit differentiation

  1. #1
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    implicit differentiation

    can you help me please?
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  2. #2
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    -4x^{2} - 4xy - 3y^{3} = -192

    Taking the derivative of both sides:

    -8x - 4(y + xy') - 9y^{2}y' = 0

    The middle term -4(y + xy') is just using the product rule in differentiating.

    Solve for y' at (-4,4) and that will be your slope value.

    You should be able to go from there?
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