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  • Assertion: If a function f is differentiable at a point c, then it is also continuous at that point. Reason: The differentiability of a function at a point impl

Assertion: If a function f is differentiable at a point c, then it is also continuous at that point.

Reason: The differentiability of a function at a point implies its continuity at that point.

 

Option: 1

Both assertion and reason are true, and the reason is a correct explanation of the assertion

 


Option: 2

Both assertion and reason are true, but the reason is NOT a correct explanation of the assertion.

 


Option: 3

The assertion is true, but the reason is false.

 


Option: 4

The assertion is false, but the reason is true.


Answers (1)

best_answer

Differentiability of a function at a point implies its continuity at that point, as the existence of a linear approximation near that point requires the function to be continuous. This is a fundamental property of differentiable functions.

 

Posted by

himanshu.meshram

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