Richmond County School System



F(x)F’(x)F’’(x)Graph is IncreasingF’(x) > 0 (graph of F’ is above x-axis)Graph is decreasingF’(x) < 0 (graph of F’ is below x-axis)Min/Max in GraphF’(x) = 0 or F’(x) is undefined, because F(x) switches from increasing to decreasing or vice versaGraph is Concave UpF’(x) is IncreasingF’’(x) > 0Graph is Concave DownF’(x) is decreasingF’’(x) < 0Graph has a Point of InflectionF’(x) has a min/max because it changes from increasing to decreasing or vice versaF’’(x) = 0How does the graph of a function relate to its first and second derivative and their graphs? ................
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