課程名稱︰微積分甲上
課程性質︰必修
課程教師︰林楨芸
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰102/10/28
考試時限（分鐘）：20分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
CALCULUS A-QUIZ 5 NAME:____________
8
x
Problem 1. Find the derivative of y = x . (6 points)
Problem 2. How long will it take an investment to double in value if the
interest rate is 10% compounded continuously? (7 points)
Problem 3. The edge of a cube was found to be 30 cm with a possible error in
measurement of 0.1 cm. Use differentials to estimate the maximum possible
error in computing the surface area of the cube. (7 points)
Answers:
(7+x^8)
Problem 1. : (8lnx+1)x
ln2
Problem 2. :