graphing derivatives :(

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14 Terms

1
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concavity occurs at

points of inflection

2
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critical point

where the slope changes from positive to negative

3
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points of inflection of f’(x)

are the zeros of f”(x)

4
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function f(x) increases

where f’(x) is above the x axis

5
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6
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7
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f’’(x) is positive where

the slope of f’(x) is positive

8
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f(x) is concave up

when f’(x) has a positive slope

9
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f(x) is concave down

when f’(x) has a negative slope

10
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an x intercept on f’(x) is

a min/ma/POI on f(x)

11
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when the curve on f’(x) is below the x axis

f(x) is decreasing

12
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when the curve on f’(x) is above the x axis

f(x) is increasing

13
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when f’(x) goes from above the x axis to below

on f(x) its a max

14
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when f’(x) goes from below the a axis to above

on f(x) its a max