if-a-function-kk-has-a-derivative-at-the-point-cc-what-can-be-said-about-the-con

Question

If a function $k$ has a derivative at the point $c$ , what can be said about the continuity of $k$ at $c$ ?

Accepted Answer

$k$ must be continuous at $c$

Answer

$k$ is not necessarily continuous at $c$

Answer

$k$ continuity at c is uncertain

Answer

$k$ is continuous only if it is also bounded

If a function kk has a derivative at the point cc, what can be said about the continuity of kk at cc?