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

Question

Contrapositive of the statement :

`If a function f is differentiable at a, then it is also continuous at a', is:

Accepted Answer

p = function is differentiable at a

q = function is continuous at a

Contrapositive of statements p $$ \to $$ q is

$$ \sim $$q $$ \to $$ $$ \sim $$p

$$ \therefore $$ Contrapositive statement is :

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

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