AP Calc Memorization Sheet
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9 Terms
1
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F(x) is increasing when
f'(x) is positive --> f'(x)>0 (above x axis)
2
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f(x) is decreasing when
f'(x) is negative --> f'(x)
3
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f(x) has extrema when
f'(x) changes sign
4
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f(x) has a maximum when
f'(x) changes + to -
5
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f(x) has a minimum when
f'(x) changes - to +
6
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f(x) has a critical point when
f'(x) = 0 or f'(x) is undefined (DNE)
7
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f(x) is concave up when
f'(x) is increasing or f''(x) is positive
8
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f(x) is concave down when
f'(x) is decreasing or f''(x) is negative
9
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f(x) has inflection points when
f'(x) changes from inc to dec/dec to inc or f''(x) changes sign