Question:medium

If $\sqrt{\frac{y}{x}} + \sqrt{\frac{x}{y}} = 1$, then $\frac{dy}{dx}$ equals

Show Hint

For symmetric expressions like $\sqrt{\frac{y}{x}} + \sqrt{\frac{x}{y}}$, expect reciprocal-type derivatives.
Updated On: Apr 30, 2026
  • $\sqrt{\frac{y}{x}}$
  • $\sqrt{\frac{x}{y}}$
  • $\frac{y}{x}$
  • $\frac{x}{y}$
  • $xy$
Show Solution

The Correct Option is D

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