DOC PREVIEW
ASU
MAT 267 -
slide
View full document
Premium Document
Do you want full access? Go Premium and unlock all 2 pages.
Access to all documents
Download any document
Ad free experience
Unformatted text preview:
View Full Document
ESTIMATING PARTIAL AND DIRECTIONAL DERIVATIVES FROM THE COUNTOUR PLOT1. Use the contour plot to estimate:(a) fx0.5,0(b) fy0.5,0(c) Duf 1,0 in the direction of v = -i + 2 j2. Can you identify the approximate position of local maxima, minima and saddle points?ANSWER:(a) fx0.5,0≈f A− f PxA−xP=4−31−0.5=10.5=2(b) fy0.5,0≈f B− f P yB− yP=2−31−0=−1(c) The vector AB=〈−.5 ,1〉is in the same direction as v, thus Duf 1,0≈f B− f A∣AB∣=2−4.521≈−1.7892. Local maxima at (-1.7,0) and (1.4,0) Saddle point at
View Full Document
Unlocking...