Assertion (A): If f ( x ) is not continuous at x = a , then it is not differentiable at x = a Reason (R): If f ( x ) is differentiable at a point, then it is continuous at that point

Question

Assertion (A): If f ( x ) is not continuous at x = a , then it is not differentiable at x = a Reason (R): If f ( x ) is differentiable at a point, then it is continuous at that point, (A) and (R) are both true, (R) is correct explanation of (A), (A) and (R) are both true, (R) is not correct explanation of (A), (A) is true, (R) is false, (A) is false, ( R ) is true

MARKS App · Accepted Answer

If f ( x ) is a differentiable function then f ( x ) will be also continuous at that point necessarily. Hence reason ' R ' is correct. Above concept also means that if f ( x ) is not continuous at any point x = a then f ( x ) will not be differentiable at x = a .

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