2 write on paper for upvote please. Provide Exact value. 2.Given the function f(x, y)=3x²y + 2xy-y,a) find the value of the directional derivative of the at the point (2, -1) in the direction v=(-12, 5). Give theexact value.b) Find the maximum value of the directional derivative and give the direction for which this occurs.c) Find the equation of the line tangent to the surface f(x, y) at the point (2, -1) in the direction v= (-12, 5)

Answered: Image /qna-images/answer/51bcfe6c-5403-40a5-bf08-d29c2d7ba2b7.jpg

2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the at the point (2, -1) in the direction v=(-12, 5). Give the exact value. the dinnational derivative and give the direction for which this occurs.

2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the at the point (2, -1) in the direction v=(-12, 5). Give the exact value. the dinnational derivative and give the direction for which this occurs.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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2 write on paper for upvote please. Provide Exact value.

2.
Given the function f(x, y)=3x²y + 2xy-y,
a) find the value of the directional derivative of the at the point (2, -1) in the direction v=(-12, 5). Give the
exact value.
b) Find the maximum value of the directional derivative and give the direction for which this occurs.
c) Find the equation of the line tangent to the surface f(x, y) at the point (2, -1) in the direction v= (-12, 5)

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