Question: 1. Consider the function f(x, y, z) = xy + ez, and suppose that = = uv' , y = 3u, and z = Inv.

 1. Consider the function f(x, y, z) = xy + ez,

1. Consider the function f(x, y, z) = xy + ez, and suppose that = = uv' , y = 3u, and z = Inv. (a) (6pts) Write down the general multivariable Chain Rule that computes Of/Ov in this case. (b) (12pts) Use your formula in (a) to compute Of /du when u = 3, v = 1. 6 a ) of dx + of dy If dz Full pts if diagram JX JV Jy JV T JZ JV justifying that at dy =0 dy du + 2 b ) fx= y , fy= x+zel? + 2 y z 1 ye 2x = 2 uv, 2x = 0 2 z = . +2 J V + 1 J V + 2 V JV = y ( 2 UV) + ( x+ze> >) (0) + ( / e )( 4 ) = busv + 3u Bulnv V U= 3 V= 1 => Of JV = 54+ 90 9 (1) = 54+9 ( 3, 1)

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