ezradorsey13 ezradorsey13

24-04-2017
Mathematics

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If f has a local maximum value at x = a, what would you expect the graph of f ' to look like near x = a?

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LammettHash LammettHash

24-04-2017

You would expect [tex]f[/tex] to be increasing to the left of [tex]x=a[/tex], and decreasing to the right, which corresponds to [tex]f'[/tex] being positive when [tex]x<a[/tex] (but near [tex]x=a[/tex]) and negative when [tex]x>a[/tex].

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