Teaching JKPSC Lecturership Mock Test Series 2024-25 Engineering Mathematics Calculus Differentiability
If \(\rm z = \tan^{-1} \frac y x\) then the value of \(\rm \frac {\partial^2z}{\partial x^2} + \frac {\partial^2 z}{\partial y^2}\) is equal to-
1
\(\rm \frac {-y}{x^2 + y^2}\)
2
\(\rm \frac {x}{x^2 + y^2}\)
3
\(\rm \frac {2xy}{x^2 + y^2}\)
4
0