Contrapositive of the statement :

Question:

Contrapositive of the statement :

'If a function $f$ is differentiable at $a$, then it is also continuous at $a^{\prime}$, is :

  1. (1) If a function $f$ is continuous at $a$, then it is not differentiable at $a$.

  2. (2) If a function $f$ is not continuous at $a$, then it is not differentiable at $a$.

  3. (3) If a function $f$ is not continuous at $a$, then it is differentiable at $a$

  4. (4) If a function $f$ is continuous at $a$, then it is differentiable at $a$.

Correct Option: , 2

Solution:

(2) Contrapositive statement will be "If a function is not continuous at ' $a$ ', then it is not differentiable at ' $a$ '.

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