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Mathematics · JEE | APPLICATION OF DERIVATIVES

हिन्दी

What are the critical points of the function \( f(x) = x^3 - 3x + 3 \)?

  1. A
    \( x = \pm 1 \)
  2. B
    \( x = 0, 1 \)
  3. C
    \( x = 1, 2 \)
  4. D
    \( x = \pm 2 \)
View Answer & Solution

Correct answer · Option A

\( x = \pm 1 \)

Explanation

Since \( f'(x) = 3x^2 - 3 = 3(x-1)(x+1) \), setting \( f'(x) = 0 \) gives critical points \( x = 1 \) and \( x = -1 \).
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