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.

1 answer

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
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