Ответ:

1)(x^9)'=9x^8

2)x^-12=-12x^-13

3)x^4/5=4/5x^-1/5

4)x^-2/3=-2/3x^-5/3

5)(1/x^18)'=-18/x^19

6)(4 x)'=1/4×4sqrtx^3

7)(1/6sqrtx^5)'=-5/6×6sqrtx^5×|x|