嘉定一中AP选修课
AP Calculus BC
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Microeconomics
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Assignment 4: Logarithmic Derivatives
Assignment 4: Logarithmic Derivatives
对数函数求导
练习自然对数函数的导数及对数微分法
✍️ 5 题
1. Find d/dx[ln(3x)]
A. 1/x
B. 3/x
C. 1/(3x)
D. ln(3x)/x
2. Find d/dx[ln(x²+1)]
A. 2x/(x²+1)
B. 1/(x²+1)
C. 2x·ln(x²+1)
D. (x²+1)/2x
3. Use logarithmic differentiation to find dy/dx if y = xˣ
A. xˣ(1 + ln(x))
B. xˣ·ln(x)
C. eˣ²
D. xˣ/x
4. Find d/dx[log₃(x²)]
A. 2/(x·ln(3))
B. 2x/ln(3)
C. 1/(x²·ln(3))
D. 2x·log₃(x)
5. Find d/dx[ln|sec(x) + tan(x)|]
A. sec(x)
B. sec(x)tan(x)
C. tan(x)
D. sec²(x)
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