Mathematics · JEE | APPLICATION OF DERIVATIVES

If the function \( f(x) = kx^3 - 9x^2 + 9x + 3 \) is monotonically increasing on \( \mathbb{R} \), then the range of \( k \) is:

1. A
   \( k < 3 \)
2. B
   \( k \le 3 \)
3. C
   \( k > 3 \)
4. D
   \( k \ge 3 \)