MAT 211- Lecture 4
MAT 211- Lecture 4 MAT 211
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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+yparaboloid 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= x2+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 xysecondorder partial derivative of f with respect to x, then y
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