Use the contour diagram for f(x, y) shown below toestimate the directional derivative of f in the direction vat the point P.(a) At the point P = (2, 2) in the direction v = j, thedirectional derivative is approximately(b) At the point P = (2,3) in the direction=-7, thedirectional derivative is approximatelyD(c) At the point P = (4, 1) in the direction.v = (i+j)/√2, the directional derivative isapproximately(d) At the point P = (4,0) in the direction v = −ỉ, thedirectional derivative is approximately 4.8y43.22.41.60.80.02.00-0.8-0.84.02.0아 -0.06.018.016.014.012.010.00.81.6x8.02.02.43.244.8

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Answered: Use the contour diagram for f(x, y)…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.1: Velocity

Problem 12SBE

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Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction v at the point P.