(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the coordinates of the point in the first quadrant at which the tangent line to the curve x^{3}-xy+y^{3}=0 is parallel to the x-axis.

SO:

x= +

y= +

m_{tan}=0

2. Relevant equations

[tex]\frac{dy}{dx}=m_{tan}[/tex]

3. The attempt at a solution

[tex]\frac{dy}{dx}=\frac{y-3x^{2}}{3y^{2}-x}=0[/tex]

After I get the derivative, I have no clue what to do.

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# Homework Help: Implicit Differentiation and coordinates

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