Question

please help :
Z=f(u) , u=g(x,y)

equation below

Answer 1

show that :

Answer 2

what are we supposed to find here ?

Answer 3

prove that the right hand side equals the left hand side

Answer 4

or vise versa

Answer 5

we will be needing the chain rule here

Answer 6

just prove the first one or second one

Answer 7

let start with dz/dy first
the first partial

Answer 8

it's partial

Answer 9

any idea how we do this part ?