Let , where is a positive integer. Determine the smallest value of for which is…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let f(x)=x4−4mx2+7f(x)=x^{4}-4m x^{2}+7, where mm is a positive integer. Determine the smallest value of mm for which ff is strictly decreasing on the interval (0,1)(0,1).

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