Answer
$$\frac{{dy}}{{dx}} = 18{x^{2.6}}$$
Work Step by Step
$$\eqalign{
& y = 5{x^{3.6}} \cr
& {\text{Find the derivative of }}y{\text{ with respect to }}x \cr
& \frac{{dy}}{{dx}} = \frac{d}{{dx}}\left[ {5{x^{3.6}}} \right] \cr
& \frac{{dy}}{{dx}} = 5\frac{d}{{dx}}\left[ {{x^{3.6}}} \right] \cr
& {\text{use the power rule: }}\frac{d}{{dx}}\left[ {{x^n}} \right] = n{x^{n - 1}} \cr
& \frac{{dy}}{{dx}} = 5\left( {3.6{x^{3.6 - 1}}} \right) \cr
& \frac{{dy}}{{dx}} = 18{x^{2.6}} \cr} $$
