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Unformatted text preview: g ( x ) which is continuous at 0 and so that f ( x ) = xg ( x ). 4. Let f : R R be a dierentiable function so that f is increasing. That is, for x < y , f ( x ) < f ( y ). Prove that any tangent line to f instersects the graph of f exactly once. (For any x , the tangent line at ( x ,f ( x )) is given by the equation f ( x ) ( xx ) = yf ( x ).)...
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 Summer '08
 RIEMAN
 Chain Rule, The Chain Rule

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