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maximum, minimum, concave
maximum, minimum, concave
Question Details: consider the following function: f(x)=x^3-4x^2+5x-2 a. determne the intervals of increasing anddecreasing b. determine local maximum and minimum c. determine the intervals of concave up and concave down d. determine the point of inflection |
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You should know from your text that:
a. f(x) increasing is where f'(x) > 0, and decreasing is where f'(x) < 0. b. local max is where f'(x) = 0 and f''(x) <0; local min is where f'(x) = 0 and f''(x) >0. c. Concave up is where f''(x) >0. Concave down is where f''(x) <0. d. Inflection points are where f''(x) = 0. |
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