6) y = 8√(15x+3)

6) \(y = 8\sqrt{15x+3} = 8(15x+3)^{\frac{1}{2}} \) \(y' = 8 \cdot \frac{1}{2} (15x+3)^{-\frac{1}{2}} \cdot (15x+3)' = 4(15x+3)^{-\frac{1}{2}} \cdot 15 = 60(15x+3)^{-\frac{1}{2}} = \frac{60}{\sqrt{15x+3}} \) Ответ: \(y' = \frac{60}{\sqrt{15x+3}}\)