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Home » Unlock the Secret of Math Properties—Every Rule You Need to Know! - Feedz API

Unlock the Secret of Math Properties—Every Rule You Need to Know! - Feedz API

📅 May 19, 2026 👤 scraface

May 19, 2026

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- 2t^3 - 4t^6 - 12t^3 + 6t^6 = 2 - 14t^3 + 2t^6.
I''(t) = rac{2t^6 - 14t^3 + 2}{(1 + t^3)^3}.
Set numerator of \( I''(t) = 0 \):
2t^6 - 14t^3 + 2 = 0 \quad \Rightarrow \quad t^6 - 7t^3 + 1 = 0.
Let \( u = t^3 \), then:
u^2 - 7u + 1 = 0 \quad \Rightarrow \quad u = rac{7 \pm \sqrt{49 - 4}}...
Since \( t > 0 \), we take the positive root:
t^3 = rac{7 + 3\sqrt{5}}{2} \quad \Rightarrow \quad t = \left( rac{7...
ight)^{1/3}.
This is the critical point where the impact rate is increasing most ra...

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