Let function g (x,y) = 3 x + y ln y − sin (1 − x) Assume z as function differentiable E : zy + y ² evaluate when r = -1 = If additionally, x and y are said to be functions of r and t represented by -r te = x and e r + 2t = y, use chain rule (multivariate) to дz at : -1 and t =1. at x and y defined implicitly by g(x,y) - 2

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 15E
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Let function g (x,y) = 3x + y ln y sin (1 x)
Assume z as function differentiable at x and y defined implicitly by
E : zy + y² = g(x,y) - 2
If additionally, x and y are said to be functions of r and t represented
by ―rte = x and e = y, use chain rule (multivariate) to
r + 2t
дz
evaluate when r = -1 and t =1.
ət
Transcribed Image Text:Let function g (x,y) = 3x + y ln y sin (1 x) Assume z as function differentiable at x and y defined implicitly by E : zy + y² = g(x,y) - 2 If additionally, x and y are said to be functions of r and t represented by ―rte = x and e = y, use chain rule (multivariate) to r + 2t дz evaluate when r = -1 and t =1. ət
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