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June 30th, 2009, 12:23 PM   #1
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Need help differentiating

Find dy/dx for f(x,y)=3xe^(x/y^2). Simplify Completely.

I believe you have to differentiate Fx(x,y) and Fy(x,y) then use the formula dy/dx=-Fx(x,y)/Fy(x,y)
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June 30th, 2009, 12:57 PM   #2
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Re: Need help differentiating

Looks senseless to me. To compute dy/dx we need y to be a function of x. But we are merely given a function of both variables.
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June 30th, 2009, 01:57 PM   #3
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Re: Need help differentiating

I'm guessing we solve for y and differentiate.

Differentiate:
1. Apply the chain rule to .
2. Apply the quotient rule to .
3. Apply the chain rule to .

You should get:


Is that the way to do it?
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July 1st, 2009, 06:17 AM   #4
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Re: Need help differentiating

That's one guess. Another guess would be that the problem really was: Find of ...

But until the OP clarifies, who knows?
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