嘉定一中AP选修课
AP Calculus BC
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Microeconomics
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Assignment 1: Derivatives
Assignment 1: Derivatives
求导技巧
练习基本求导法则：幂法则、常数倍法则、和差法则
✍️ 5 题
1. Find the derivative of f(x) = 3x⁴ - 2x³ + 5x - 7
A. 12x³ - 6x² + 5
B. 12x³ - 6x² + 5x
C. 3x³ - 2x² + 5
D. 12x⁴ - 6x³ + 5
2. Find the derivative of f(x) = √x + 1/x²
A. 1/(2√x) - 2/x³
B. 1/(2√x) + 2/x³
C. 2√x - 1/x
D. 1/√x - 2/x³
3. Find f'(x) if f(x) = (3x - 1)²
A. 6(3x - 1)
B. 2(3x - 1)
C. 6x - 2
D. 3(3x - 1)
4. If f(x) = x³ - 4x + 1, find the equation of the tangent line at x = 2
A. y = 8x - 15
B. y = 8x - 7
C. y = 3x² - 4
D. y = 8x + 1
5. Find the second derivative of f(x) = 2x³ - 5x² + 3x
A. 12x - 10
B. 6x² - 10x + 3
C. 12x - 5
D. 6x - 10
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