alenardbms4182 alenardbms4182
  • 20-08-2018
  • Mathematics
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Suppose that ​f(2​)equals4 and that fprime​(x)equals0 for all x. must ​f(x)equals4 for all​ x? give reasons for your answer.

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sqdancefan
sqdancefan sqdancefan
  • 20-08-2018

Yes. If f'(x) = 0 everywhere, then the graph of f(x) is a horizontal line. If f(2) = 4, then f(x) = 4 for any x.

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