engineering recuitment GATE CE 2023-24 Test Series Engineering Mathematics Calculus Differentiability
If the function \(u = \ln \left( {\frac{{{x^3} + {x^2}y - {y^3}}}{{x - y}}} \right)\) then \(x\frac{{\delta u}}{{\delta x}} + y\frac{{\delta u}}{{\delta y}}\) is
1
2eu
2
e2u
3
2
4
1/2