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研究所、轉學考(插大)-微積分
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106年 - 106 國立臺北大學學士班暨進修學士班轉學生招生考試_統計學系二、三年級：微積分#116786
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題組內容
4. Let
and C be the level curve of f(x, y)at the level f(x,y) =2.
(a) (5%) Find the equation of C.
其他申論題
(d) (5%) Approximate In(1.1) by the 4th Taylaor Polynomial for f centered at 1.
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(a) (6%)
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(b)(6%)
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(c)(8%)
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(b) (7%) Find the equation the tangent line at the point on level curve C.
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(c) (8%) At the point on the level C what is the direction of the greatest rate of increasing of f(x,y)?
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5. (15%) EvaluatedA, where R is the region bounded by x=1, x=3, xy=1, and xy=4.
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(a) (7%) Find all critical values of f.
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(b) (6%) Find f"(x) , the second derivative of f.
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(c) (6%) Find all relative extrema of f.
#499031
and C be the level curve of f(x, y)at the level f(x,y) =2. 
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and C be the level curve of f(x, y)at the level f(x,y) =2.