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I have read the book, tried looking at similar examples, but I simply cannot solve the following problem:
The function f(u,v) is differentiable in the entire R^2. Write:
h(x,y,z)= f(x/y, y/z)
y>0, z> 0
(do not understand why this is of importance)
Calculate:
x*(dh/dx)+y*(dh/dy)+z*(dh/dz) expressed in u, v and partial derivates of f.
The dh/dx, dh/dy and dh/dz all have those crooked d's which I cannot type here.
I really need help with this and would be so thankful for any guidance!
Thanks, but should I do the calculation for dh/dy and dh/dz as well...?
I get:
dh/dy= (df/du)*(-x/y^2)+(df/dv)*(1/z)
dh/dz= (df/dv)*(-y/2)
Shall I mulitply this with x, y and z respectively? The key answer says:
x*(dh/dx)+y*(dh/dy)+z*(dh/dz)= 0
But I dont understand how...
Help would be gold...