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

The curve t(t) passing thru the point (1,1,1) is defined implicitly by:

x^{2}y + y^{2}x + xyz + z^{2}= 4

and

x + y + z = 3

a) find the equation for the tangent line to this curve at the given point

b) assume you may choose x=t as the parameter. Find the formula for:

dy/dt and d^{2}y/dt^{2}

3. The attempt at a solution

I honestly have no idea where to start! Can anyone give me hints to get me going? Ty.

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# Curve defined implicitly

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