[轉錄][轉錄][試題] 周青松微積分甲上（2005秋期 …

看板NTUBIME100HW作者happierway (杰夫)時間16年前 (2007/11/11 10:49)推噓0(0推 0噓 0→)

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※ [本文轉錄自 NTUBIME-100 看板] 作者: daniel901249 (叫我帥哥) 看板: NTUBIME-100 標題: [轉錄][試題] 周青松微積分甲上（2005秋期中考）時間: Sat Oct 20 23:31:42 2007 ※ [本文轉錄自 NTU-Exam 看板] 作者: Nzing (黑色神話) 看板: NTU-Exam 標題: [試題] 周青松微積分甲上（2005秋期中考）時間: Fri Nov 11 13:43:05 2005 課程名稱︰微積分甲課程性質︰共同必修課程教師︰周青松開課系所︰數學系考試時間︰2005.11.11 8:10~10:00 試題 : Ⅰ.Show that sin x A. lim ─── = 1 x→0 x 1-cos x B. lim ──── = 0 x→0 x Ⅱ. A. Determine the discontinuites, if any , on the following function: { 2x+1 , x≦0 f(x) = { 1 , 0＜x≦1 { x^2+1 , x＞1 B. Given that { x^2 , x≦1 f(x)={ { 2x-1 , x＞1 find f'(1) Ⅲ.Let f be continuous on an arbitrary interval I and differentiable on the interior of I. A. If f'(x)＞0 for all x in the interior of I, then f increase on all of I B. If f'(x) = 0 for all x in the interior of I, then f is constant on all of I. Ⅳ. Let f be twice differentiable on an open interval O 屬於 R A. If f''(x)＞0 for all x in O, then the graph of f is concave up. B. If f''(x)＜0 for all x in O, then the graph of f is concave down. 4 2 Ⅴ.Sketch the graph of the function f(x)=1/4 x - 2x + 7/4 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.240.198

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lovenonstop

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Tuberculosis

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xguyx

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