ap calc bc 5.1-5.4 graphing
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16 Terms
f(x) increasing
f’(x) is positive
f(x) decreasing
f’(x) is negative
f(x) has a local minimum
f’(x) changes from negative to positive (could be zero)
f(x) has a local maximum
f’(x) changes from positive to negative (could be zero)
f(x) is concave up
f’’(x) positive
f(x) is concave down
f’’(x) is negative
f(x) has a point of inflection
f’’(x) changes signs
f’(x) changes from increasing/decreasing (or vice versa)
f(x) has a point of inflection
f’(x) is increasing
f(x) is concave up
f’(x) is decreasing
f(x) is concave down
f’(x) has a local minimum
f’’(x) changes from negative to positive
f’(x) has a local maximum
f’’(x) changes from positive to negative
f’ has a local min/max
f has inflection point
f’ = 0
f has relative min/max
f’ increasing
f is concave up
f’ decreasing
f is concave down