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104年 - 104 國立臺北大學_轉學生招生考試試題_經濟學系二年級：微積分#118776
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5.Suppose
=__(8)__.
其他申論題
I. (50 points) Fill in the following blanks. 1. Find the tangent line to function y=3x2-5x+2 at x=2. Express your answer in the form y=mx+b with slope m and y-intercept b.___(1)__.
#506370
2. Find the derivative of (x2 +1)(x2+3x+2),__(2)__ ; and the derivative of ,__(3)__.
#506371
3. Let function f(x)=3x5-5x3 has domain D1=[-], then its global maximum is at __(4)__ on D1. Let function has domain D2 =[1,10], then its global minimum is at __(5)__ on D2.
#506372
4. Suppose f(x)=x3 and x=(z-1)(z+1).Then=__(6)__. (Please express it in z.)Suppose=__ (7)__ . (Please express it in z.)
#506373
6. The value of sin(x2)dx is__(9)__ , and the value ofxin xdx is __(10)__.
#506375
II. (50 points) Fill in the following blanks. 1. Find the Taylor series of In(1+x) centered at x=0,__(1)__.
#506376
2. Suppose,0＜x,y＜∞.Weknow that w=x+y.Then f(w)=__(2)__.
#506377
3. Let f be an integrable function on [a, b] and a ＜d ＜b. Suppose and=__(3)__.
#506378
4. The value of is__(4)__.
#506379
5. The value of is__(5)__.
#506380
=__(8)__.
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=__(8)__.