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| If f '(x) > 0 on an interval, then f is increasing or decreasing on that interval. |
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| If f '(x) < 0 on an interval, then f is increasing or decreasing on that interval. |
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| The First Derivative Test: If f' changes from positive to negative at c, then f has what at c? |
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| The First Derivative Test: If f' changes from negative to positive at c, then f has what at c? |
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| If f''(x) > 0, then the graph of f is concave downward or upward? |
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| If f''(x) < 0, then the graph of f is concave downward or upward? |
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| Where would one find an inflection? |
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| The Second Derivative Test: If f'(c)=0 and f''(c)>0,then f has a local minimum or maximum at c. |
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| The Second Derivative Test: If f'(c)=0 and f''(c)<0,then f has a local minimum or maximum at c. |
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