Recent content by Robin64

Thanks, all, for the help. Using Kramer's rule to solve for the answer made it nice and easy.

Adding to my confusion is this. The solution to the problem is below, and I have no idea how to get there. Can anyone provide more illumination? I looked for resources that describe the application of the chain rule to these types of partial derivatives, but I can find nothing. Boas'...

then I solve for 𝝏x/𝝏s and 𝝏y/𝝏s?

Ok, I see that.

t isn't a function of s.

So if dt=0 then: (2xy+y^2)dx+(2xy+x^2)dy=0...?

When you say let dt=0, let the partial of t with respect to x plus the partial of t with respect to y=0?

And frankly I don't see how to calculate 𝝏t/𝝏s

t is just t(x,y). I don't see how 𝝏t/𝝏s help me.

Not really.

I apologize for that. Nothing else has flummoxed in calc, but whatever reason, this has done just that.

This is all I know.

I forgot this part of the question. Apologies: (x^2)*y+x(y^2)=t

𝝏w/𝝏x=1 and then I wasn't sure about 𝝏x/𝝏s, so I tried implicitly differentiating s: 1=(3x^2)(𝝏x/𝝏s)+y(𝝏x/𝝏s)+x(𝝏y/𝝏s)+(3y^2)(𝝏y/𝝏s) And then I shaved my head in frustration.

Ok. I suspected that might the case. I can work with a graphical solution. Thanks.