Answer
$$\frac{dy}{dx}=(5x+8)^6(1-\sqrt x)^5(35(1-\sqrt x)-\frac{3}{\sqrt x}(5x+8))$$
Work Step by Step
$$\frac{dy}{dx}=((5x+8)^7(1-\sqrt x)^6)'=((5x+8)^7)'(1-\sqrt x)^6+(5x+8)(1-\sqrt x)^6)'=7(5x+8)^6\cdot(5x+8)'(1-\sqrt x)^6+(5x+8)^7\cdot6(1-\sqrt x)^5\cdot(1-\sqrt x)'=
35(5x+8)^6(1-\sqrt x)^6-\frac{3}{\sqrt x}(5x+8)^7(1-\sqrt x)^5=
(5x+8)^6(1-\sqrt x)^5(35(1-\sqrt x)-\frac{3}{\sqrt x}(5x+8))$$
