- #1
Joeda
- 18
- 0
Find the first order partial derivatives of the function x = f(x,y) at the point (4,3) where:
[tex]f(x,y)=ln|(x+√(x^2+y^2))/(x-√(x^2+y^2))|[/tex]
I understand the method of partial derivatives and implementing the given point values once the partial derivatives are found, however I am having trouble trying to simplify the equation so that the partial derivatives can be found.
I have used the log rule to simplify the function but I think it can be simplified further but am stuck. So far I've got:
[tex]In(x+√(x^2+y^2)-In(x-√(x^2-y^2)[/tex]
Do I then multiply out the In by what's in the brackets? Cause that doesn't look right when I work through the problem. Looking at similar problems I am guessing the equation being simplified would be
[tex] f(x,y) =x+√(x^2+y^2) [/tex]
but how do I get there?
[tex]f(x,y)=ln|(x+√(x^2+y^2))/(x-√(x^2+y^2))|[/tex]
I understand the method of partial derivatives and implementing the given point values once the partial derivatives are found, however I am having trouble trying to simplify the equation so that the partial derivatives can be found.
I have used the log rule to simplify the function but I think it can be simplified further but am stuck. So far I've got:
[tex]In(x+√(x^2+y^2)-In(x-√(x^2-y^2)[/tex]
Do I then multiply out the In by what's in the brackets? Cause that doesn't look right when I work through the problem. Looking at similar problems I am guessing the equation being simplified would be
[tex] f(x,y) =x+√(x^2+y^2) [/tex]
but how do I get there?
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