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Mathematics · JEE | APPLICATION OF DERIVATIVES

हिन्दी

Determine the local maximum value of the function \( f(x) = x^3 - 3x + 3 \).

  1. A
    3 / 3
  2. B
    1 / 1
  3. C
    5 / 5
  4. D
    2 / 2
View Answer & Solution

Correct answer · Option C

5 / 5

Explanation

Using second derivative test \( f''(x) = 6x \), at \( x = -1 \), \( f''(-1) = -6 < 0 \), so local maximum is \( f(-1) = (-1)^3 - 3(-1) + 3 = 5 \).

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