Absolute & Relative Extrema, Inc/Dec, Concavity/POI Chart
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6 Terms
1
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if f(x) is increasing… f’(x) is
positive
2
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if f(x) is decreasing… f’(x) is
negative
3
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if f(x) has relative extrema, f’(x) has a slope of…
0
4
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if f(x) is concave up, f’(x) is ___ and f’’(x) is ___
f’(x) is increasing and f”(x) is positive
5
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if f(x) is concave down, f’(x) is ___ and f’’(x) is ___
f’(x) is decreasing and f’’(x) is negative
6
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if f(x) has a point of inflection, f’(x) has ___ and f’’(x) has ___
f’(x) has a relative extrema and f’’(x) has a zero slope