Question

Does function f(x,y) = \(Sin^{-1} [\frac{(\sqrt x+\sqrt y)}{\sqrt{x+y}}]\) can be solved by euler’ s theorem.

(a) True

(b) False

I got this question in an interview.

My doubt is from Partial Differentiation topic in portion Partial Differentiation of Engineering Mathematics

Answer 1

Correct option is (b) False

Easy explanation: No this function cannot be written in form of x^n f(^y⁄x) hence it does not satisfies euler’s theorem.