Class Notes (839,394)
United States (325,937)
Mathematics (218)
MAT 211 (22)
Lecture 11

MAT 211 Lecture 11: 15.1 Functions with Several Variables & 15.2 Partial Derivatives

4 Pages

Course Code
MAT 211
Mohacsy Hedvig

This preview shows page 1. Sign up to view the full 4 pages of the document.
15.1 Functions with Several Variables Function with a single variable is a rule that assigns a one unique output for every input Linear function: • m is slow, the constant rate of change Definition: a real valued function f of x, y, z is a rule that assigns a unique output value for each sequence of inputs x, y, z.... Ex. Ex. Function with two variables Linear function with two variables Ex. • 2 is the slope in the x direction • -3 is the slope in the y direction • The rate of change of z with respect to x (y is fixed) is 2 (the slope in the direction of x) ◦ 1 unit increase in x (y is fixed) results in 2 unit increase in z • The rate of change of z with respect to y (x is fixed) is -3 (the slope in the direction of y) ◦ 1 unit increase in y (x is fixed) results in a 3 unit decrease in z Ex. Brand Z's annual sales are affected by the sales of related products X and Y as follows: each $1 million increase in sales brand X causes a $2.7 million decline in sales of brand Z, whereas each $1 million increase in sale of brand Y results increase of $0.7 million in sales of brand Z. Currently, brands X, Y, Z are each selling $6 million per year. Model sales of brand Z using a linear function (in millions of dollars). A lin
More Less
Unlock Document

Only page 1 are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

Log In


Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.