Compute the directional derivative of the following function at the given point P inthe direction of the given vector. Be sure to use a unit vector for the directionvector.f(x,y)= In (4+x² + 3y²); P(3, − 3); (3,1)Find the gradient of f(x,y) = In (4+x² + 3y²).Vf(x,y) =

To Compute the directional derivative of the following functions at the givenpoint P in the…

Answered: Compute the directional derivative of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. f(x,y) = In (4+x² + 3y²); P(3, − 3); (3,1) Find the gradient of f(x,y) = In (4+x² + 3y²). Vf(x,y) = (