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Continuity vs. Differentiability:

Remember that differentiability $\Longrightarrow$ continuity, but continuity $\not\Longrightarrow$ differentiability. Be careful of functions that take sharp turns.

Examples: $f(x)=\mid x\mid$ and f(x)=x2/3 are examples of continuous functions that are not differentiable at x=0.




2001-04-29