Results for this submission

$\backslash$table$[[$Entered$,$Answer Preview,Result,Message$],[(e^y)-5^{***}{y}^{**}[e^{5^{***}x}],x^{**}(e^y)-[e^{5^{**}x}],e^y-5y{e}^{5x},x{e}^y-e^{5x},$incorrect,Your answer isn't a formula that returns a vector $($it looks like a formula that returns a list of numbers$)],[-629\mathrm{.}664,\frac{-6e^5}{\sqrt[\phantom{2}]{2}},$correct,$]]$

At least one of the answers above is NOT correct

Let $f(x,y)=x{e}^y-y{e}^{5x}.$ Then gradf$=(e^y-5y{e}^{5x}),(x{e}^y-e^{5x})$ and $D_{u}f(1,-1)$ in the direction of the vector $($:$-1,1)$ is $\frac{-6e^5}{?}$ sqrt$(2)$

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