嘉定一中AP选修课
AP Calculus BC
课程概览
Microeconomics
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Calculus BC
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Unit 3 练习
Unit 3 Practice: Differentiation Rules
求导法则 练习
📝 6 道选择题
1. If f(x) = x³ - 4x + 2, then f'(x) =
A. 3x² - 4
B. 3x² - 4x
C. x⁴/4 - 2x² + 2x
D. 3x² + 4
2. If f(x) = sin(x)·cos(x), then f'(x) =
A. cos²(x) - sin²(x)
B. cos(x)·sin(x)
C. -sin²(x) + cos²(x)
D. Both A and C
3. Using the chain rule, d/dx [sin(x²)] =
A. cos(x²)·2x
B. cos(x²)
C. -sin(x²)·2x
D. 2x·sin(x²)
4. If x² + y² = 25, then dy/dx =
A. -x/y
B. x/y
C. -y/x
D. y/x
5. If f(x) = e³ˣ, then f'(x) =
A. 3e³ˣ
B. e³ˣ
C. 3xe³ˣ⁻¹
D. 3e³ˣ⁻¹
6. d/dx [ln(2x+1)] =
A. 2/(2x+1)
B. 1/(2x+1)
C. 2ln(2x+1)
D. 1/x
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