Let n, m be positive integers, where m > n ? 2.
Choose the correct statement concerning the function $f(x) = e^{nx} - mx$ in the domain $[0, m]$.
The maximum value of f(x) in the domain $[0, m]$ occurs at $x = 0$
The minimum value of f(x) in the domain $[0, m]$ is equal to 1.
The maximum value of f(x) in the domain $[0, m]$ is given by $\frac{m}{n}(1 - \ln(m) + \ln(n))$
The maximum value of f(x) in the domain $[0, m]$ is given by $\frac{1}{n}(\ln(m) - \ln(n))$
The minimum value of f(x) in the domain $[0, m]$ is given by $\frac{m}{n}(1 - \ln(m) + \ln(n))$
The minimum value of f(x) in the domain $[0, m]$ is given by $\frac{1}{n}(\ln(m) - \ln(n))$
