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研究所、轉學考(插大)-微積分
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109年 - 109 東吳大學_轉學生招生考試_數學系二年級︰微積分#110884
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6. (6 points) Suppose f(x,y, z) = x
3
y
4
z
5
and x = sin(t), y = e
t
, z = t
2
. Please compute
其他申論題
(a)
#475179
(b)
#475180
(a) f(x,y) = x sin(xy).
#475181
(b) f(x,y)=e(x+y+1),
#475182
7. (6 points) Find the directional derivative of f(a, u) = 2my-3y2at the point (x, y) = (5,5) and in the direction u = (4, -3).
#475184
8. (8 points) Find all the local maximal, local minimal, and saddle points of the function f(x,y) =3y2 - 2y3 -3x2 + 6xy.
#475185
9. (8 points) Find the point P = (x, y,z) on the plane 3x -y + 5z -1 = 0 that is closest to (0,0,0).
#475186
(1)汚す
#475187
(2)立つ
#475188
（3）踊る
#475189
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