This site is being phased out.

Is a differentiable function always continuous?

From Mathematics Is A Science
Revision as of 20:37, 12 November 2010 by imported>WikiSysop
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

Question: Is a differentiable function always continuous?

Answer: Yes.

Why: If there is a break in the graph (discontinuity), there can be no tangent line.

Proof: Use limits.

What about vice versa?

Retrieved from "https://calculus123.com/index.php?title=Is_a_differentiable_function_always_continuous%3F&oldid=708"