I assume that this is :
f(x)= (x+7)/e^x note that this can be written as :
f (x) = ( x + 7) * e^(-x) so..........we can use the Product Rule to find the derivative
f ' (x) = (1) * e^(-x) + ( x + 7) * ( - 1)e^(-x) = e^(-x) [ 1 - ( x + 7) ] = e^(-x) ( -x - 6) =
-e^(-x) ( x + 6)
So
f ' (2) = -e^(-2)(2 + 6) = - [ 8 ] / [ e^2 ] = about - 1.08268
