The directional derivative of f(x, y) = cos(x²y°) in the direction of the vectorv = 3i + 4j is- xy (12r+6y)Du f(x, y)sin(x²y³)O Du f(a, y) = -sin(2ry) – sin(32²y²)O Du f(x, y) = -3 sin(2ry³) – 4 sin(3a²y²)O Du f(x, y) = -xy²(12x + 6y) sin(æ² y³ )

The given function is: f(x,y)=cos(x2y3) So, ∇f(x,y)=∂f∂x,∂f∂y…

Answered: The directional derivative of f(x, y) =…

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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The directional derivative of f(x, y) = cos(x²y³ ) in the direction of the vecto v = 3i + 4j is Du f(r, y) = -zy(12z+6y) -sin(z²y³) O Du f(z, y) = -sin(2y³) – sin(32²y²) O Du f(x, y) = –3 sin(2ry³) – 4 sin(3z²y} ) %3D O Du f(x, y) = –xyʻ(12x + 6y) sin(x²y³)