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Sketch a rough graph of the outdoor temperature as a function of time during a typical spring day.
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Of course, this graph depends strongly on the geographical location!
Calculus 1 / AB
Calculus 2 / BC
Functions and Models
Four Ways to Represent a Function
Functions of Several Variables
October 1, 2020
so what is the domain
Oregon State University
Harvey Mudd College
University of Nottingham
A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.
In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.
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We want to draw a graph which represents the outdoor temperature on a typical spring day. So if we let time zero be midnight, chances are we're at our low temperature or somewhere in that region. And then over the course of time, we're going to hit a high temperature for the day. Maybe the high comes around six, so it's going to just keep going up, and then it's going to go back down again when we get to midnight. So maybe it's not going to be a perfect sign curve, but something like that.
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