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Slope Fields

Definition

Slope fields are graphical representations of differential equations that show the slope at various points on a plane. They help visualize the behavior and solutions of differential equations.

Related terms

Direction Field: Similar to slope fields, direction fields also represent the behavior of solutions to differential equations but focus on indicating the direction rather than the exact slope at each point.

dy/dx = f(x,y): This notation represents a general form of a first-order ordinary differential equation, where y is dependent on x and its derivative dy/dx is equal to some function f(x,y).

Differential Equation: A mathematical equation that relates an unknown function with its derivatives. It describes rates of change and helps model various phenomena in science and engineering.

"Slope Fields" appears in:

Additional resources (2)

  • AP Calculus AB/BC - 2024 AP Calculus AB Exam Guide

  • AP Calculus AB/BC - Unit 7 Overview: Differential Equations

Practice Questions (1)

  • How are slope fields useful in solving differential equations?

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About Us

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CCPA Privacy Policy

Resources

Cram Mode

AP Score Calculators

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Glossary

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.