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研究所、轉學考(插大)-微積分
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108年 - 108 國立臺北大學日間學士班轉學生招生考試_統計學系日間學士班二年級：微積分#116784
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題組內容
3.
(a)(6%) Let
. Find
,where x＞0.
其他申論題
(a) (10%) If f(1)=18 is a relative maximum and f(-3)= -14 is a relative of minimum f, please find f(x).
#499001
(b) ( 5%) Find the value of k so that (k, f(k))is a point of inflection of f(x).
#499002
(a) (7%) Show that f is continuous at 1.
#499003
(b) (8%) Show that f is differentiable at 1.
#499004
(b) (7%)Let f(x)=x3+x+1. Find (f-1)'(3).
#499006
(c) (7%) Find
#499007
(a) (5%) Find the level curve of f(x,y)=0.
#499008
(b) (7%) Find ∇f(1,-2), the gradient of f(x,y) at(1,-2).
#499009
(c) (8%) Show that fxx(x,y)+fyy(x,y)=0.
#499010
(a)(8%)
#499011
. Find 
,where x＞0. 
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. Find ,where x＞0.