Find f'(x) for f(x) = eˣ * eˡⁿˣ.

A) (1 - ln(x))/x * eˣ
B) 1/(ln(x) + 1) * eˣ
C) (ln(x) + 1) * eˣ
D) (1 + ln(x))/x * eˣ