For the function

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For the function g(x)=x4−4x3g(x)=x^4-4x^3, how is the critical point at x=0x=0 classified? (a) Local maximum\text{Local maximum} (b) Cannot be determined from the given information\text{Cannot be determined from the given information} (c) Neither maximum nor minimum (point of inflection)\text{Neither maximum nor minimum (point of inflection)} (d) Local minimum\text{Local minimum}

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