PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Calculus Differentiability

If u = log xy where x2 + y2 = 1 then \(\frac{du}{dx}\) = ?

1
\(\frac{1}{x}-\frac{x}{y^2}\)
2
\(\frac{1}{x}\)
3
\(\frac{1}{x}-\frac{x}{y}\)
4
\(\frac{1}{x}+\frac{1}{y}\)
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