For the given function, classify the critical points as relative maxima, relativ

Question

For the given function, classify the critical points as relative maxima, relative minima, or points of inflection. In each case, you may check your conclusions with a graphing utility. For the given function, classify the critical points as relative maxima, relative minima, or points of inflection. In each case, you may check your conclusions with a graphing utility. Y = x4/4 - x3/3 - 5 (0, -5) is a relative minimum and (1, -61/12) is point of inflection. (0,-5) is a relative minimum and (1, -61/12) is a relative maximum. (0, -5) is a relative maximum and (1, -61/12) is a relative minimum. (0, -5) is a point of inflection and (1, -61/12) is a relative minimum. (0, -5) is a point of inflection and (1, -61/12) is a relative maximum. Save Answer

Explanation / Answer

dy/dx=x^3-x^2=0 So x=0,1 d^2y/dx^2=3x^2-2x=0 x=0,2/3 So option 4

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