OnlineCBT Logo OnlineCBT

Mathematics · JEE | CONTINUITY AND DIFFERENTIABILITY

हिन्दी

Given below are two statements: Statement I: If a function is differentiable at a point \( c \), then it is also continuous at that point. Statement II: The converse of the statement 'If a function is differentiable at a point, then it is continuous' is always true. 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
    Statement I is correct but Statement II is incorrect.
  3. C
    Statement I is incorrect but Statement II is correct.
  4. D
    Both Statement I and Statement II are incorrect.
View Answer & Solution

Correct answer · Option B

Statement I is correct but Statement II is incorrect.

Explanation

Every differentiable function is continuous (Theorem 3). However, the converse is false; continuous functions like \( f(x) = |x| \) are not differentiable at \( x = 0 \).
Address Contact

+91 9694780911

E-mail

onlinecbtportal@gmail.com

Helpline Number

+91 9694780911


Click To Download
Get it on Google Play

ऐप डाउनलोड करने
के लिए Google Play पर
उपलब्ध है

WhatsApp Chat