Question:
If \(u=cos^{-1}\frac{x+y}{\sqrt{x}+\sqrt{y}}\), then the value of \(x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}\) is
If \(u=cos^{-1}\frac{x+y}{\sqrt{x}+\sqrt{y}}\), then the value of \(x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}\) is
Updated On: Mar 21, 2024
- \(\frac{1}{2}\cot u\)
- \(-\frac{1}{2}\cot u\)
- \(-\frac{1}{2}\tan u\)
- \(\frac{1}{2}\tan u\)
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The Correct Option is B
Solution and Explanation
The correct answer is(B):
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