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## Homework Statement

Be z=F(u,v,w), u=f(x,y), v=e

^{-αx}, w=ln y, get the expression [itex]\partial[/itex]z/[itex]\partial[/itex]x, [itex]\partial[/itex]z/[itex]\partial[/itex]y.

## Homework Equations

Chain rule.

## The Attempt at a Solution

[itex]\partial[/itex]z/[itex]\partial[/itex]x=[itex]\partial[/itex]z/[itex]\partial[/itex]v*dv/dx=-α e

^{-αx}

[itex]\partial[/itex]z/[itex]\partial[/itex]y=[itex]\partial[/itex]z/[itex]\partial[/itex]w*dw/dy=1/y