Georgia HomeroomMVC.AQR.3Multivariable 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 real-life phenomena.
Appears in: Mathematics, High School
Expectations
MVC.AQR.3.1Approximate the partial derivatives at a point of a function defined by a table of data.
MVC.AQR.3.2Find expressions for the first and second partial derivatives of a function.
MVC.AQR.3.3Use the total differential to approximate mathematical models.
MVC.AQR.3.4Represent the partial derivatives of a system of two functions in two variables using the Jacobian.
MVC.AQR.3.5Find the partial derivatives of the composition of functions using the general chain rule.
MVC.AQR.3.6Apply partial differentiation to problems of optimization, including problems requiring the use of the Lagrange multiplier.
MVC.AQR.3.7Find the family of solutions and the envelope of the family of solutions to differential equations, including Clairaut equations.
MVC.AQR.3.8Define and apply the gradient, the divergence, and the curl in terms of differential vector operations.
Georgia Milestones coverage
No Georgia Milestones blueprint cites this standard.