5. 若 \(\sqrt[3]{x} - \sqrt[3]{y} = 1\)，求 \(\frac{dy}{dx}\) 之解
(A) \((\frac{y}{x})^{\frac{2}{3}}\)
(B) \((\frac{x}{y})^{\frac{2}{3}}\)
(C) \((\frac{y}{x})^{\frac{1}{3}}\)
(D) \((\frac{x}{y})^{\frac{1}{3}}\)

阿摩線上測驗 · 2026-09-02T11:25:49+08:00

5. 若 [3]x - [3]y = 1，求 dy/dx 之解 (A) (y/x)^2/3 (B) (x/y)^2/3 (C) (y/x)^1/3 (D) (x/y)^1/3

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5. 若 \(\sqrt[3]{x} - \sqrt[3]{y} = 1\)，求 \(\frac{dy}{dx}\) 之解(A) \((\frac{y}{x})^{\frac{2}{3}}\)(B) \((\frac{x}{y})^{\frac{2}{3}}\)(C) \((\frac{y}{x})^{\frac{1}{3}}\)(D) \((\frac{x}{y})^{\frac{1}{3}}\)