Question

Prove that dz/du-dz/dv = xdz/dx - ydz/dy where z=f(x,y) and x=e^u -e^-y and y=e^-u - e^v

Answer 1

Whoops!

Answer 2

Prove what that you are Neo92 ??

Answer 3

this is a partial differentiation problem

Answer 4

i need help bros..

Answer 5

Did you mean:\[
x=e^u -e^{-v}
\]??

Answer 6

Did you try messing around with the chain rule?

Answer 7

yep

Answer 8

\[
\frac{\partial z}{\partial u} = \frac{\partial z}{\partial x}\frac{\partial x}{\partial u} + \frac{\partial z}{\partial y}\frac{\partial y}{\partial u}
\]

Answer 9

Just use this fact to brute force it. Think you can do it @Neo92 ?

Answer 10

well.. i'll give it a try. Thnks @wio
..