Mathematics · JEE | APPLICATION OF DERIVATIVES
हिन्दीWhat are the critical points of the function \( f(x) = x^3 - 3x + 3 \)?
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 \( x = -1 \).