Find f(x) so that it satisfies:
f'(x)=1+e^x+1/x and f(1) =3+e. Please show all steps so I can follow.
Thanks.
if you read the other solutions, you should be getting the hang of it by now.
f' = 1+e^x+1/x
f = x + e^x + lnx + c
f(1) = 3+e = 1 + e + c
so, c = 2
f(x) = x + e^x + lnx + 2