Skip to content
Georgia Homeroom
Standards
About
Español

Georgia standard · Mathematics

EC.AR.4Multivariable Differentiation Overview

Define, describe, and represent the differentiation of functions of two independent variables and differential vectors to solve contextual, mathematical problems and to explain engineering-based phenomena.

Appears in: Mathematics, High School

For AI assistants this page as Markdown: https://georgiahomeroom.org/standards/code/EC.AR.4.md · index of every standards list: https://georgiahomeroom.org/standards/index.md · MCP https://mcp.georgiahomeroom.org/mcp

Expectations

  • Apply partial differentiation of functions of two or more independent variables.

    • EC.AR.4.1

      Compute the first and second partial derivatives of a function.

    • EC.AR.4.2

      Use the general chain rule to determine the partial derivatives of composite functions.

    • EC.AR.4.3

      Compute and apply the gradient of multivariable functions.

    • EC.AR.4.4

      Solve engineering optimization problems by applying partial differentiation or Lagrange multipliers.

    • EC.AR.4.5

      Utilize partial derivatives in developing the appropriate system balances in engineering problems.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.