MAT 267 Study Guide - Midterm Guide: Contour Line, Tangent Space, Partial Derivative
Document Summary
Note: below the examples and hw refer to examples and homework from the textbook, ww refers to webwork hw problems. Sketch the graph of basic surfaces (examples 3,4, hw 18). Find partial derivatives of two and three variable functions algebraically (examples 1, 3,5, ww 1-8), and how to estimate their value given the contour plot of the function (hw 2). Understand the geometrical meaning of the partial derivative with respect to x (rate of change in the direction of the positive x-axis) and y (rate of change in the direction of the positive y-axis) (example 2, hw 2,3,4). Find linear approximation (local linearization) of a two variable function f(x,y) at a given point. L x , y = f x 0, y0 f x x 0 , y0 x x 0 f y x 0 , y 0 y y 0 close to.
