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Home » ight) = rac4x^2 - 1. - AMAZONAWS

ight) = rac4x^2 - 1. - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 Set $ g'(u) = 0 $: $ u = 0 $ or $ 3 - 8u^2 = 0 \Rightarrow u^2 = rac{3}{8} \Rightarrow u = \pm \sqrt{rac{3}{8}} = \pm rac{\sqrt{6}}{4} $

📌 Evaluate $ g(u) $:

📌 At $ u = 0 $: $ g = 0 $

📌 At $ u = \pm rac{\sqrt{6}}{4} $:

📌 g = 3\left(rac{6}{16}

📌 ight) - 4\left(rac{36}{256}

📌 ight) = rac{18}{16} - rac{144}{256} = rac{9}{8} - rac{9}{16} = rac{18 - 9}{16} = rac{9}{16} = 0.5625

📌 So maximum of $ \sin 3x \sin x $ is $ rac{9}{16} $, thus minimum of $ f(x) = 1 - rac{9}{16} = rac{7}{16} $? But wait â this contradicts earlier thought.

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