JEE Mathematics · Hard

Differentiability: Parametric differentiation MCQ

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

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Parametric differentiationHardQuestion 360010

Question

If x = t², y = t³, then dy/dx is:
  1. A
    3t/2
    Correct
  2. B
    3t²/2t = 3t/2
  3. C
    2t
  4. D

Correct answer

3t/2

Explanation

dy/dx = (dy/dt)/(dx/dt) = (3t²)/(2t) = 3t/2.