First Order Partial Derivatives of a Function

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The discussion focuses on finding the first order partial derivatives of the function f(x,y) = ln|(x+√(x²+y²))/(x-√(x²+y²))| at the point (4,3). Participants express confusion over simplifying the function and correctly applying the logarithmic and differentiation rules. There is a back-and-forth regarding the correct application of partial derivatives, with emphasis on ensuring proper notation and algebraic manipulation. The conversation highlights the importance of accurately differentiating terms and recognizing common factors in expressions. Ultimately, the participants aim to clarify their understanding of the derivative process to successfully compute the partial derivatives at the specified point.
  • #31
ok once again thanks Voko you have been brilliant!

f(x)= [1+(x^2+y^2)^{-1/2}(x)] [\frac{1}{x+\sqrt{x^2+y^2}} - \frac{1}{x-\sqrt{x^2+y^2}}]

So this is written correctly then?
 
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  • #32
Again, the second term is incorrect. You cannot go from (-a)(b) to -(-ab), but that's what you insist on doing. (-a)(b) = -(ab).
 

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