題組內容
2.
(b)Suppose that \( f \) is a function whose derivative is \( f'(x)=x/(1+x^2) \). Use the result in part (a) to show that \( |f(b)-f(a)| \le \frac{1}{2}|b-a| \) for any \( a \) and \( b \). (5%)
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2.
(b)Suppose that \( f \) is a function whose derivative is \( f'(x)=x/(1+x^2) \). Use the result in part (a) to show that \( |f(b)-f(a)| \le \frac{1}{2}|b-a| \) for any \( a \) and \( b \). (5%)