vault backup: 2025-02-06 13:13:47
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@ -114,5 +114,7 @@ for all $a > 0$
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> Differentiate $f(x) = 4\sqrt[3]{x} - \dfrac{1}{x^6}$
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1. $f(x) = 4\sqrt[3]{x} = \dfrac{1}{x^6}$
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2. $= 4x^\frac{1}{3} - x^{-6}$
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3. $f'(x) $\dfrac{1}{3} * 4x^{-\frac{2}{3}} -4 * x^-10$
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2. $= 4x^\frac{1}{3} - x^{-6}$
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3. $f'(x) = \dfrac{1}{3} * 4x^{-\frac{2}{3}} -(-6)(x^{-6-1})$
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4. $= 4x^{-2-\frac{2}{3}} + 6x^{-7}$
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5. $= \dfrac{4}{3\sqrt[3]{x^2}} + \dfrac{6}{x^7}$
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