Find the differential, $LaTeX: \displaystyle dy$ , of $LaTeX: \displaystyle y = \ln{\left(e^{6 x} + 4 \right)}$ .

The differential is given by $LaTeX: \displaystyle dy = f'(x)dx$ . Using the formula gives: $LaTeX: dy = \frac{6 e^{6 x}}{e^{6 x} + 4}\,dx$