Consider the polynomial function

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the polynomial function r(x)=−x4+4x3r(x)=-x^{4}+4x^{3}. On which open interval is rr increasing and concave down? (a) (3,∞)(3,\infty) (b) (2,3)(2,3) (c) (0,2)(0,2) (d) (2,∞)(2,\infty)

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