Question

determine the derivative of tan^-1 (x/y) = x-y with respect to x.
a. (x^2+y^2+x)/(x^2+y^2+y)
b. (x^2+y^2-y)/(x^2+y^2-x)
c. (x^2+y^2-x)/(x^2+y^2+y)
d. (x^2+y^2+y)/(x^2+y^2-x)

Answer 1

I'd suggest rearranging the formula so that you feel most comfortable doing implicit differentiation. I'd much rather take the derivative of tan than arctan.

Answer 2

i got a answer letter b i just wanted if im correct

Answer 3

yes answer B is correct