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?
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?
