The negation of the statement "All continuous | vedclass

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(D) The given statement is of the form "For all $x$,$P(x)$",where $P(x)$ is the property that a function is differentiable. The negation of the statem

Vedclass · Accepted Answer

Some continuous functions are not differentiable

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(D) The given statement is of the form "For all $x$,$P(x)$",where $P(x)$ is the property that a function is differentiable. The negation of the statement "All $P$ are $Q$" is "Some $P$ are not $Q$". Therefore,the negation of "All continuous functions are differentiable" is "Some continuous functions are not differentiable". Thus,the correct option is $D$.

The negation of the statement "All continuous functions are differentiable" is:

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