Question

найдите производные функции 1) у=8 под корнем х- 12/x+16x4 ;2) y=11+2x/x-1

Answer 1

1) $y = 8sqrt{x}-frac{12}{x}+16x^4$

$y' = -frac{8}{2sqrt{x}}+frac{12}{x^2}+64x^3 = 4(16x^3+frac{3}{x^2}-frac{1}{sqrt{x}})$ 

2) $y = 11 + frac{2x}{x-1}$

$y' = frac{2(x-1)-2x}{(x-1)^2} = -frac{2}{(x-1)^2}$