Use the theorem Theorem: Directional Derivative If f is a differentiable function of x and y, then the directional derivative of fin the direction of the unit vector u = cos(8)i + sin{6)j is D,fx, y) = f_(x, y) cos(0) + f_(x, y) sin(@). to find the directional derivative of the function at P in the direction of v. f(x, y) = x²y, P(-8, 8), v = 3i – 4j

Use the theorem Theorem: Directional Derivative If f is a differentiable function of x and y, then the directional derivative of fin the direction of the unit vector u = cos(8)i + sin{6)j is D,fx, y) = f_(x, y) cos(0) + f_(x, y) sin(@). to find the directional derivative of the function at P in the direction of v. f(x, y) = x²y, P(-8, 8), v = 3i – 4j

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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