JEE Mathematics · Medium

Differentiability: Implicit differentiation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Implicit differentiationMediumQuestion 360006

Question

For x² + y² = r², dy/dx equals:
  1. A
    −x/y
    Correct
  2. B
    x/y
  3. C
    −y/x
  4. D
    y/x

Correct answer

−x/y

Explanation

Implicit differentiation: differentiate both sides w.r.t. x: 2x + 2y(dy/dx) = 0 → dy/dx = −x/y.