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AP Calculus AB 7.4 Slope-Field Reasoning Review

Review AP Calculus AB 7.4 by reading local slope directions, estimating derivative values, and matching plausible solution curves to a slope 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

Covered syllabus points

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

7.4 Reasoning Using Slope Fields 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 7.4 Reasoning Using Slope Fields question 1 — AP Calculus AB
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