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JEE Main20204 Sep 2020Evening ShiftMathematicsMathematical ReasoningActual

Contrapositive of the statement : 'If a function f is differentiable at a , then it is also continuous at a ', is

Options

  1. AIf a function f is continuous at a , then it is not differentiable at a .
  2. BIf a function f is not continuous at a , then it is not differentiable at a .
  3. CIf a function f is not continuous at a . then it is differentiable at a .
  4. DIf a function f is continuous at a , then it is differentiable at a .

Correct answer

B. If a function f is not continuous at a , then it is not differentiable at a .

Step-by-step solution

By using definition, we have; Contrapositive of p ⇒ q is ~ q ⇒ ~ p . Which means contrapositive of given statement is; "If a function f is not continuous at a , then it is not differentiable at a ."

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