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Mathematics · JEE | APPLICATION OF DERIVATIVES

हिन्दी

Let \( f(x) = x^3 - 3x^2 + 3x + 10 \). The number of critical points of \( f \) is:

  1. A
    3
  2. B
    1
  3. C
    2
  4. D
    0
View Answer & Solution

Correct answer · Option B

1

Explanation

Derivative \( f'(x) = 3x^2 - 6x + 3 = 3(x-1)^2 = 0 \) gives \( x = 1 \). Thus there is only 1 critical point.
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