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## MAT 211- Lecture 4

by: Brigette Maggio

33

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2

# MAT 211- Lecture 4 MAT 211

Marketplace > Arizona State University > Math > MAT 211 > MAT 211 Lecture 4
Brigette Maggio
ASU
GPA 3.9

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These notes cover MAT 211- Lecture 4 on Section on Partial and Second Partial Derivatives.
COURSE
Math for Business Analysis
PROF.
Dr. Mohacsy
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math, MAT 211
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Brigette Maggio on Friday January 29, 2016. The Class Notes belongs to MAT 211 at Arizona State University taught by Dr. Mohacsy in Fall 2015. Since its upload, it has received 33 views. For similar materials see Math for Business Analysis in Math at Arizona State University.

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Date Created: 01/29/16
MAT 211­ Lecture 4­ Partial & Second Partial Derivatives    Partial Derivative Notation:      2​ 2 ­Ex.: z= f(x,y)= x​+y​paraboloid with respect to x (2,1)  y=1 is fixed (plane parallel to xy coordinate plane)    ­curve of intersection of y= 1  2​ 2 z= x​+y​   z= x​+1 in the y=1 plane    ­x​(2,1)= slope of the tangent line to the curve z= x​2+1  2​ 2  z= x​+ y​ fz/ fx = 2x+0 ­­­­­> fz/fx (2,1)= 4      Second­Order Partial Derivatives:    ­∂/ ∂x= operation that you apply on a function f(x,y)    ­∂f/∂x= derivative with respect to x    2 ­(∂/∂x)(∂f/∂x)= ∂ f/ ∂x∂y= f​ xx​ second­order partial derivative of f with respect to x    ­(∂/∂x)(∂f/∂y)= ∂ f/∂x∂y= f​ xy​second­order partial derivative of f with respect to x, then y

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