F(x,y) = A/ x^2 +y^2Find the directional derivative at the point (1,4) in a direction of the vector v = 2i + 3j Note: This is a Calculus 3 quesTion. Find the directional derivative at the point (1, 4) in a direction of the vectorv= 2i +3 j80°FA4

First I have written the definition of directional derivative of a function at a point in the…

Answered: F(x,y) = A/ x^2 +y^2 Find the…

F(x,y) = A/ x^2 +y^2 Find the directional derivative at the point (1,4) in a direction of the vector v = 2i + 3j Note: This is a Calculus 3 quesTion.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

F(x,y) = A/ x^2 +y^2

Find the directional derivative at the point (1,4) in a direction of the vector v = 2i + 3j

Note: This is a Calculus 3 quesTion.

Find the directional derivative at the point (1, 4) in a direction of the vector
v
= 2i +3 j
80°F
A4

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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