Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(4) = – 4, g'(4) = 9, h(4) = 8, h'(4) = 3, fz( – 4, 8) = – 2, and fy( – 4, 8) = – 8, find dz / dt when t 4.

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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Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t).
If g(4) = – 4, g'(4) = 9, h(4) = 8, h'(4) = 3, fz( – 4, 8) = – 2, and fy( – 4, 8) = – 8, find
dz / dt when t
4.
Transcribed Image Text:Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(4) = – 4, g'(4) = 9, h(4) = 8, h'(4) = 3, fz( – 4, 8) = – 2, and fy( – 4, 8) = – 8, find dz / dt when t 4.
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