Hi there, I have this exercise, I'd like to know what you think, if I did this right:
If , with . Determine if its possible the dF over a point adequately chosen.
So I choose which satisfies the system
Then I've verified that satisfies the implicit function theorem, both functions are polynomials of class y
Then I consider:
And I set:
From where I get:
Analogous procedure for the derivatives with respect to y, and:
Is this right?