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

1 Answer

7 votes
You would expect
f to be increasing to the left of
x=a, and decreasing to the right, which corresponds to
f' being positive when
x<a (but near
x=a) and negative when
x>a.
User TheWildHealer
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