JEE Mathematics · Easy

Application of Derivatives: Mixed MCQ

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

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MixedEasyQuestion 310014

Question

The equation of the tangent to y = x³ at the origin is:
  1. A
    y = 0
    Correct
  2. B
    y = x
  3. C
    y = x³
  4. D
    x = 0

Correct answer

y = 0

Explanation

At origin: y' = 3x² = 3(0)² = 0. Slope = 0 → tangent is horizontal: y = 0.