題組內容
一、Calculus (50% in total)
1. Let $f(x) = \begin{cases} x^3 \sin \frac{1}{x}, & x \neq 0 \\ 0, & x = 0 \end{cases}$.
(c) \( (6\%) \) Find \( f^{\prime}(x), x > 0 \).
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一、Calculus (50% in total)
1. Let $f(x) = \begin{cases} x^3 \sin \frac{1}{x}, & x \neq 0 \\ 0, & x = 0 \end{cases}$.
(c) \( (6\%) \) Find \( f^{\prime}(x), x > 0 \).