Let . On which of the following intervals is…

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

Problem

Let f(x)=x3−3x2+1f(x)=x^{3}-3x^{2}+1. On which of the following intervals is ff increasing? (a) (−∞,0) and (0,2)(-\infty,0)\text{ and }(0,2) (b) (0,2)(0,2) (c) (−∞,0) and (2,∞)(-\infty,0)\text{ and }(2,\infty) (d) (1,∞)(1,\infty)

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