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 4 练习
Unit 4 Practice: Applications of Derivatives
导数的应用 练习
📝 5 道选择题
1. Rolle's Theorem applies to f(x) = x² - 4x + 3 on [1,3] because:
A. f(1) = f(3) = 0, and f is continuous on [1,3] and differentiable on (1,3)
B. f is a polynomial
C. f has a zero on the interval
D. f(1) ≠ f(3)
2. If f'(x) > 0 on an interval, then f is:
A. Increasing
B. Decreasing
C. Constant
D. Concave up
3. The critical numbers of f(x) = x³ - 3x are:
A. x = ±1
B. x = 0
C. x = ±√3
D. x = 1 only
4. If f"(x) > 0 on an interval, the graph of f is:
A. Concave up
B. Concave down
C. Increasing
D. Decreasing
5. A rectangle has perimeter 20 cm. The maximum area is:
A. 25 cm²
B. 20 cm²
C. 100 cm²
D. 50 cm²
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