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Home » From Fraction to Decimal: 3/16 Shocked Even Math Experts (Discover Why) Brace Yourself! - Crankk.io

From Fraction to Decimal: 3/16 Shocked Even Math Experts (Discover Why) Brace Yourself! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 I'(t) = rac{2t + 2t^4 - 3t^4}{(1 + t^3)^2} = rac{2t - t^4}{(1 + t^3)^2}.

📌 Now, find \( I''(t) \) to locate where \( I'(t) \) has a maximum:

📌 Let \( N(t) = 2t - t^4 \) and \( D(t) = (1 + t^3)^2 \), then:

📌 I''(t) = rac{N'(t)D(t) - N(t)D'(t)}{[D(t)]^2}.

📌 Compute derivatives:

📌 N'(t) = 2 - 4t^3, \quad D'(t) = 2(1 + t^3)(3t^2) = 6t^2(1 + t^3).

📌 I''(t) = rac{(2 - 4t^3)(1 + t^3)^2 - (2t - t^4)(6t^2(1 + t^3))}{(1 + t^3)^4}.

📌 Factor \( (1 + t^3) \) from numerator:

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