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NDA 2025 · PYQ · Implicit differentiation · easy

Let (x + y)^(p+q) = x^p y^q, where p, q are positive integers. If p + q = 10, then what is dy/dx equal to?

  1. A.y/x✓ Correct
  2. B.xy
  3. C.x^10 y^10
  4. D.(y/x)^10

Explanation

From the previous problem, dy/dx = y/x regardless of values of p and q. Hence even when p + q = 10, dy/dx = y/x.
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