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A function F(x, y) is a composite function such that F(x, y) = h(u(x, y), v(x, y)) where h = h(u, v), u= u(x,y), v = v(x, y) are functions of two variables. Calculate the value of partial derivative Fy (x, y) at the point (x, y) = (−1, 10) given that u (-1, 10) = −5, v(−1, 10) : = -6 and that ux (-1, 10) = -5, vx (-1, 10) = -2, Vx uy (-1, 10) = 2, vy (-1, 10) = -6, hu (-5, -6) = −9, hv (-5, -6) = -1.

A function F(x, y) is a composite function such that F(x, y) = h(u(x, y), v(x, y)) where h = h(u, v), u= u(x,y), v = v(x, y) are functions of two variables. Calculate the value of partial derivative Fy (x, y) at the point (x, y) = (−1, 10) given that u (-1, 10) = −5, v(−1, 10) : = -6 and that ux (-1, 10) = -5, vx (-1, 10) = -2, Vx uy (-1, 10) = 2, vy (-1, 10) = -6, hu (-5, -6) = −9, hv (-5, -6) = -1.

Calculus: Early Transcendentals
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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exact value of Fy(-1,10)

A function F(x, y) is a composite function such that F(x, y) = h(u(x, y), v(x, y)) where h = h(u, v), u= u(x, y), v=v(x, y) are functions of two variables. Calculate the value of partial derivative Fy (x, y) at the point (x, y) = (-1, 10) given that u(-1, 10) = -5, v(-1, 10) = -6 and that ux (-1, 10) = -5, vx (-1, 10) = -2, uy (−1, 10) = 2, vy (-1, 10) = -6, hu (−5, −6) = −9, hv (-5, −6) = −1.
Transcribed Image Text:A function F(x, y) is a composite function such that F(x, y) = h(u(x, y), v(x, y)) where h = h(u, v), u= u(x, y), v=v(x, y) are functions of two variables. Calculate the value of partial derivative Fy (x, y) at the point (x, y) = (-1, 10) given that u(-1, 10) = -5, v(-1, 10) = -6 and that ux (-1, 10) = -5, vx (-1, 10) = -2, uy (−1, 10) = 2, vy (-1, 10) = -6, hu (−5, −6) = −9, hv (-5, −6) = −1.
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