课程名称︰微积分甲上
课程性质︰必修
课程教师︰林桢芸
开课学院：理学院
开课系所︰数学系
考试日期（年月日）︰102/10/28
考试时限（分钟）：20分钟
是否需发放奖励金：是
（如未明确表示，则不予发放）
试题 :
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. :