Let for . Determine the -coordinate at which attains its absolute maximum on the…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let f(x)=x3−6x2+9xf(x)=x^{3}-6x^{2}+9x for 0≤x≤50\le x \le 5. Determine the xx-coordinate at which ff attains its absolute maximum on the interval [0,5][0,5]. (a) x=1x=1 (b) x=4x=4 (c) x=5x=5 (d) x=3x=3

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