Find the derivative of the following function and simplify the answers as much as possible: f(x)=(3 x+1)^{(3 x+1)} \frac{\mathrm{d} f}{\mathrm{~d} x}=(3 x+1)^{(3 x)}[3+3 \ln (3 x+1)] \text { b) None

of the answers given here. } \text { c) } \frac{\mathrm{d} f}{\mathrm{~d} x}=(3 x+1)^{(3 x+1)}[3+\ln (3 x+1)] \frac{\mathrm{d} f}{\mathrm{~d} x}=3[1+\ln (3 x+1)] \text { e) } \frac{\mathrm{d} f}{\mathrm{~d} x}=(3 x+1)^{(3 x)} \text { Of) } \frac{\mathrm{d} f}{\mathrm{~d} x}=(3 x+1)^{(3 x+1)}\left[3+\ln (3 x+1)^{3}\right]