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[Sarita Math]

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[AMAN GUPTA]

8. Check the existence of implicit functions at the given point:

a). f(x; y) = y2 􀀀 x2y 􀀀 2x5 at (0, 0).

b). f(x; y) = y2 + 2x2y + x5 at (1,-1).

c). f(x; y) = 2xy 􀀀 log(xy) 􀀀 2 at (1,1).  how to these type of  question

On Thu, Sep 20, 2012 at 6:44 PM, Sarita Math <sarita...@gmail.com> wrote:

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[Sarita Math]

Apply "Implicit function theorem for two variables" which states that

Solved problem:

c) .

Ans. Here 

Hence f(x,y) =0 gives y as a function of x in neighbourhood of the point (1,1).