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F is increasing when
F’ > 0
F is decreasing when
F’ < 0
F has a relative maximum when F’ changes from
+ To -
F has relative minimum when F’ changes from
- to +
F is concave up when
F’ is increasing
F'‘ > 0
F is concave down when
F’ is decreasing
F’’ < 0
f has an inflection point when
F’ changes from
increasing to decreasing
decreasing to increasing
and
F’’ changes sign
Inflection points happen when
F changes concavity
