Let . Which of the following -values is a location of a relative (local) maximum of…

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

Problem

Let f(x)=x4−4x2+3f(x)=x^{4}-4x^{2}+3. Which of the following xx-values is a location of a relative (local) maximum of ff? (a) x=2x=2 (b) x=0x=0 (c) x=2x=\sqrt{2} (d) x=23x=\sqrt{\dfrac{2}{3}}

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