Find the differential, $LaTeX: \displaystyle dy$ , of $LaTeX: \displaystyle y = \sqrt{2 x^{3} - 4}$ .

The differential is given by $LaTeX: \displaystyle dy = f'(x)dx$ . Using the formula gives: $LaTeX: dy = \frac{3 x^{2}}{\sqrt{2 x^{3} - 4}}\,dx$