SOLUTION: If u = log ( e^x + e^y ) , then ∂u/∂x + ∂u/∂y = ? A ) e^x + e^y. B ) e^x - e^y. C ) 1/ (e^x +e^y). D) 1

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If u = log ( e^x + e^y ) , then ∂u/∂x + ∂u/∂y = ? A ) e^x + e^y. B ) e^x - e^y. C ) 1/ (e^x +e^y). D) 1       Log On


   



Question 1015834: If u = log ( e^x + e^y ) , then ∂u/∂x + ∂u/∂y = ?
A ) e^x + e^y.
B ) e^x - e^y.
C ) 1/ (e^x +e^y).
D) 1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
∂u/∂x=e%5Ex%2F%28e%5Ex%2Be%5Ey%29
.
.
∂u/∂y=e%5Ey%2F%28e%5Ex%2Be%5Ey%29
So then adding them together,
∂u/∂x+∂u/∂y=%28e%5Ex%2Be%5Ey%29%2F%28e%5Ex%2Be%5Ey%29=1