Consider the function f(x) = x + ln x and f is differentiable on (1, e) and f(x) is continuous on [1, e]. Determine the c value using Lagrange’s Mean value theorem.
1
e
2
e – 1
3
\(\frac{{\rm{e}}}{{{\rm{e}} - 1{\rm{\;}}}}\)
4
\(\frac{{{\rm{e}} - 1}}{{{\rm{e\;}}}}\)