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Difference between revisions of "Is a continuous function always differentiable?"
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Latest revision as of 13:43, 2 November 2010
Question: Is a continuous function always differentiable?
Answer: No.
Why: Graphs of some functions aren't "smooth", so there is no tangent line.
Proof: Consider the absolute value function |x| at x = 0.
What about vice versa?
