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These 7 Iconic PSP Games Are the Absolute Best of All Time—Don’t Miss Them! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 C'(t) = rac{-3t^2 - 4t + 12}{(t^2 + 4)^2}

📌 To find where $ C(t) $ is increasing, we solve:

📌 -3t^2 - 4t + 12 > 0

📌 This is a quadratic inequality. First, find the roots:

📌 -3t^2 - 4t + 12 = 0 \Rightarrow 3t^2 + 4t - 12 = 0

📌 t = rac{-4 \pm \sqrt{16 + 144}}{6} = rac{-4 \pm \sqrt{160}}{6} = rac{-4 \pm 4\sqrt{10}}{6} = rac{-2 \pm 2\sqrt{10}}{3}

📌 So the critical points are:

📌 t_1 = rac{-2 - 2\sqrt{10}}{3}, \quad t_2 = rac{-2 + 2\sqrt{10}}{3}

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