Question

differentiate 1/e^(x-1)

Answer 1

let \[y=\frac{ 1 }{ e ^{x-1} }=e ^{-x+1}\]
\[\frac{ dy }{ dx }=e ^{-x+1}\left( -1+0 \right)=\frac{ -1 }{ e ^{x-1} }\]