If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1) = 1 fx(4, 5) = -5 fy(4, 5) = 6 find dz/dt when t = 1. dz dt =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 41CR
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If z = f(x, y), where f is differentiable, and
x = g(t)
y =
h(t)
h(1) = 5
h'(1)
= -7
g(1) = 4
g'(1) = 1
fx(4, 5) = -5
fy(4, 5) = 6
find dz/dt when t = 1.
dz
dt
=
Transcribed Image Text:If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1) = 1 fx(4, 5) = -5 fy(4, 5) = 6 find dz/dt when t = 1. dz dt =
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