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研究所、轉學考(插大)-微積分
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110年 - 110東吳大學_碩士班招生考試_數學系A 組(數學)、數學系班 B 組(決策科學與海量資料分析) ︰微積分#100056
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5. (8 points) Let y = sin x - cos x. Find
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1. (8 points) Evaluate
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2. (8 points) Evaluate
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3. (8 points) Evaluate
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4. (8 points) Evaluate
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6. (8 points) Let f(x)=xg(x),g(3)=5,and g'(3)= 2. Find f'(3).
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7. (8 points) Let f'(x) = x√xand f(1) = 2. Find f(x).
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8. (8 points) Evaluate
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9. (8 points) Evaluate
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10. (8 points)Find f(x) =
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11. (10 points) Let f'(x) exist everywhere. If f(2) = 8 and f'(x) ≤ 5 for all x. Use the mean value theorem to answer how small can f(0) possibly be?
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