The contrapositive of the statement: 'If a fu | vedclass

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(C) Let $p$ be the statement: 'Function $f$ is differentiable at $a$'.Let $q$ be the statement: 'Function $f$ is continuous at $a$'.The given statemen

Vedclass · Accepted Answer

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

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(C) Let $p$ be the statement: 'Function $f$ is differentiable at $a$'.Let $q$ be the statement: 'Function $f$ is continuous at $a$'.The given statement is $p \rightarrow q$.The contrapositive of $p \rightarrow q$ is defined as $\sim q \rightarrow \sim p$.Here,$\sim q$ is: 'Function $f$ is not continuous at $a$'.And $\sim p$ is: 'Function $f$ is not differentiable at $a$'.Therefore,the contrapositive is: 'If a function $f$ is not continuous at $a$,then it is not differentiable at $a$'.

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

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