Mathematics · JEE | LIMITS AND DERIVATIVES

Given below are statements: (A) The derivative of a constant function is zero. (B) Leibniz product rule states that \( (uv)' = u'v - uv' \). (C) The derivative of \( \sin x \) with respect to \( x \) is \( \cos x \). (D) Quotient rule requires the denominator function to be non-zero. Which of the above statements are correct?

1. A
   (A), (C) and (D) only
2. B
   (A) and (B) only
3. C
   (B) and (C) only
4. D
   (A), (B), (C) and (D)