Consider the function on the closed interval

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

Problem

Consider the function h(x)=x3−12x+5h(x)=x^{3}-12x+5 on the closed interval [−3, 4]\left[-3,\,4\right]. At which value of xx does hh attain its absolute minimum on this interval? (a) x=−3x=-3 (b) x=4x=4 (c) x=2x=2 (d) x=−2x=-2

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