AP Calculus AB - Derivative Flashcards
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7 Terms
1
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Q: When is f(x) increasing?
A: When f'(x) > 0
2
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Q: When is f(x) decreasing?
A: When f'(x) < 0
3
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Q: When is there a relative maximum?
A: When f'(x) = 0 and f''(x) < 0 OR when f'(x) changes from + to -
4
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Q: When is there a relative minimum?
A: When f'(x) = 0 and f''(x) > 0 OR when f'(x) changes from - to +
5
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Q: When is f(x) concave up?
A: When f''(x) > 0
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Q: When is f(x) concave down?
A: When f''(x) < 0
7
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Q: What is a point of inflection?
A: When f''(x) = 0 and f''(x) changes sign
Note 
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