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Math Help - implicit differenciate

  1. #1
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    implicit differenciate

    I need help with these two problems! I keep working them out and getting wrong answers! BAH!

    1.) Use implicit differentiation to find the equation of the tangent line to the curve at the point . The equation of this tangent line can be written in the form where is:
    and where is:

    AND

    I keep got 0 for this one and its not right! :S


    If and , find by implicit differentiation.
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  2. #2
    Eater of Worlds
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    Differentiating implicitly:

    Often, students forget the product rule when using implicit.

    3xy^{2}y'+y^{3}+xy'+y=0

    y'=\frac{-y(y^{2}+1)}{x(3y^{2}+1)}

    Now, plug in your given points to find the slope.

    Next, use your given points and the slope in y=mx+b to solve for b. You're done.
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  3. #3
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    Thank you so much! I didn't differentiate correctly!
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