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f’(x) is positive f(x) is
increasing
f’(x) is negative f(x) is
decreasing
f’(x) positive to negative f(x) is
Relative Maximum
f’’(x) negative when f’(x)=0 f(x) is
Relative Maximum
f’(x) is negative to positive f(x) is
Relative Minimum
f’’(x) positive when f’(x)=0 f(x) is
Relative Minimum
f’’(x) is positive f(x) is
concave up
f’’(x) is negative f(x) is
concave down
f’(x) increasing f(x) is
concave up
f’(x) decreasing f(x) is
concave down
f’’(x) changes signs f(x) is
point of inflection
f’(x) changes increasing to decreasing (or vice versa) f(x) is
point of inflection