This document is a collection of detailed lecture notes from a university-level course on Multivariable Calculus and Physics. It covers essential topics including lines, planes, and surfaces, projectile motion, limits, partial derivatives, optimization, and integration techniques in various coordin...
Math 210 Lecture 6: Limits and partial
derivatives
Daniel Ingebretson
University of Illinois at Chicago
June 24, 2024
,Review: domain and range of a function of one
variable
√
Consider the function f (x) = 4 − x 2.
What’s the domain and range?
,Review: domain and range of a function of one
variable
√
Consider the function f (x) = 4 − x 2.
What’s the domain and range?
This is an example of an explicit function y = f (x).
, Review: domain and range of a function of one
variable
√
Consider the function f (x) = 4 − x 2.
What’s the domain and range?
This is an example of an explicit function y = f (x).
How do we visualize the graph of an explicit function of
one variable?
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