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Mr.Rockwater
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1. The problem statement, all variables and given known data
Find the partial derivatives (1st order) of this function:
[itex] ln((\sqrt{(x^2+y^2} - x)/(\sqrt{x^2+y^2} + x)) [/itex]
I obviously separated the logarithm quotient into a subtraction, then applied the rule d ln(u) = 1/u. However, what I end up with is four terms with a bunch of x²+y² and [itex]\sqrt{x²+y²} [/itex] . I'm just starting out with partial derivatives so is there any obvious trick that I'm not familiar with in this type of situation?
Find the partial derivatives (1st order) of this function:
[itex] ln((\sqrt{(x^2+y^2} - x)/(\sqrt{x^2+y^2} + x)) [/itex]
Homework Equations
The Attempt at a Solution
I obviously separated the logarithm quotient into a subtraction, then applied the rule d ln(u) = 1/u. However, what I end up with is four terms with a bunch of x²+y² and [itex]\sqrt{x²+y²} [/itex] . I'm just starting out with partial derivatives so is there any obvious trick that I'm not familiar with in this type of situation?
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