Question

If \(u=e^{xy}\), then the value of \(\displaystyle \frac{\partial^2u}{\partial x^2}+\frac{\partial^2u}{\partial y^2}\) at \((1,1)\) is

• A. \(e\)
• B. \(2e\)
• C. \(1\)
• D. \(0\)

Hint:

For \(u=e^{xy}\), remember that \(\frac{\partial}{\partial x}(e^{xy})=y e^{xy}\) and \(\frac{\partial}{\partial y}(e^{xy})=x e^{xy}\).

Answer 1

The Correct Option is B