How to differentiate arctan (x/y) with respect to y?

[mmh37]

DOES ANYONE SEE WHY MY LATEX FORMULAE ARE NOT BEING GENERATED?

I was wondering how one can differentiate the following:

$$arctan (x/y)$$

wrt y

is it just inner times outer derivative, i.e.

$$(-x) /((1 + x^2/y^2)*y^2)$$

in the definitions I found they just gave examples like

$$tan^(-1) y$$

thanks very much

 

[TD]

DOES ANYONE SEE WHY MY LATEX FORMULAE ARE NOT BEING GENERATED?

LaTeX is currently down but I was able to follow your problem through the code.

If x and y are independent variables then you differentiate wrt to y, just by using the chain rule.
Your answer is correct and can be simplified to -x/(x²+y²).