Mathematics · JEE | LIMITS AND DERIVATIVES

Given below two statements: Statement I: If a function \( f(x) \) has a derivative at a point \( x = a \), then \( f(x) \) must be continuous at \( x = a \). Statement II: Continuity at a point implies that the function is always differentiable at that point. In the light of the above statements, choose the most appropriate answer from the options given below:

1. A
   Both Statement I and Statement II are correct.
2. B
   Both Statement I and Statement II are incorrect.
3. C
   Statement I is correct but Statement II is incorrect.
4. D
   Statement I is incorrect but Statement II is correct.