JEE Mathematics · Easy

Application of Derivatives: Increasing/decreasing MCQ

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

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Increasing/decreasingEasyQuestion 310002

Question

f(x) = x² is increasing on:
  1. A
    (0, ∞)
    Correct
  2. B
    (−∞, ∞)
  3. C
    (−∞, 0)
  4. D
    Nowhere

Correct answer

(0, ∞)

Explanation

f'(x) = 2x > 0 when x > 0. So f is increasing on (0, ∞) and decreasing on (−∞, 0).