Answer to Question #332617 in Calculus for Olga

Question

F (x) = e^x  / x

is

a.      F’ (x) = e^x (x – 1) + e^x (x^2) – e^x (x -1) (2x) / x^4

b.      F’ (x) = e^x (x -1) / x^2 – e^x (x -1) (2x) + e^x (x^4)

c.      F’ (x) = e^x (x – 1) + e^x (x^2) – e^x (x -1) (2x) / x^2

d.      F’ (x) = e^x (x^2 – 2x + 2)   / x^3

Answer 1

$F(x)=\cfrac{e^x}{x}$

$F'(x) = \cfrac{e^x x-e^x}{x^2} = \cfrac{e^x(x-1)}{x^2}$