Find the directional derivative of f(x, y)The gradient of ƒ is:sin(x + 2y) at the point (1, -3) in the direction 0 = T/3.Vf =cos(x+2y), 2cos(x+2y)Vf(1, –3) = ( cos(5), 2cos(5)The directional derivative is:sqrt(5)/2*cos(5)

We have too find direction derivative.

Answered: Find the directional derivative of f(x,…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the directional derivative of f(x, y) = sin(x + 2y) at the point (1, -3) in the direction 0 The gradient of ƒ is: Vf = ( cos(x+2y) T/3. 2cos(x+2y) Vf(1, –3) = ( cos(5) 2cos(5) The directional derivative is: sqrt(5)/2"cos(5)