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AP Calculus AB 7.4 Slope Fields Question Bank

Practise slope-field questions by reading local direction, identifying solution behavior and estimating derivative values from a field.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • read local derivative direction and magnitude from a slope field
  • reason about solution curves and equilibrium behavior from field evidence

FUN-7.C—Estimate solutions to differential equations—Topic 7.4 question 1

[Maximum number: 1]

The slope field shown is for the differential equation dydx=ky−2y2\frac{d y}{d x}=k y-2 y^{2}, where k is a constant. What is the value of k ?

A

2

B

4

C

6

D

8 1.2 Multiple Choice Questions: Calculator Allowed

Figure for Question FUN-7.C—Estimate solutions to differential equations—Topic 7.4 question 1 — AP Calculus AB
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