vault backup: 2025-01-05 11:59:17
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@ -277,8 +277,8 @@ $$
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f'(t) &= 4,5 t ^2 \Rightarrow\\
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f'(\sqrt[3]{17,5}) &= 4,5 \cdot (\sqrt[3]{17,5}) ^2 \\
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&= 4,5 \cdot \sqrt[3]{17,5^2} \\
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&= 4,5 \cdot \sqrt[3]{17,5^3 \cdot 17,5^{-1}} \\
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&= 4,5 \cdot 17,5^{-1} \\
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&= 4,5 \cdot 17,5 \cdot \sqrt[3]{17,5^{-1}} \\
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&= 4,5 \cdot 17,5^3 \cdot 17,5^{\frac{3}{-1}} \\
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&= 4,5 \cdot \dfrac{1}{17,5} \\
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&= \dfrac{4,5}{17,5} \\
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&= 0,257142857
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