Find the differential, $LaTeX: \displaystyle dy$ , of $LaTeX: \displaystyle y = e^{\sin{\left(7 x \right)}}$ .

The differential is given by $LaTeX: \displaystyle dy = f'(x)dx$ . Using the formula gives: $LaTeX: dy = 7 e^{\sin{\left(7 x \right)}} \cos{\left(7 x \right)}\,dx$