Expert: Richard J. Raridon - 11/4/2009

Question
I am 16 and in 12th grade in high school.
my problems (set 2):
For Exercises 9, 10, 11, 12, 13, 19, 21, 22, 23, and 24 find the derivative of each expression and simplify.
9. (1/a)((1/b)(x²)-(2/a)(x)-(d/x))
10. (-8x^-8)+(12√x)
11. (6x^-7)-(4√x)
12. (x^-5)+(1/x^8)
13. (√x)+(1/x³)
19. (x²+8x-4)((2x^-2)+(x^-4))
21. (x+1)³
22. (√x)+(3rd root of x)+(3rd root of (x²))
23. x(2x+7)(x-2)
24. (√x)((3rd root of x)+(5  root of x))

Answer
9. (1/a)[(1/b)(2x) -(2/a) +d/x^2]
10. 64x^-9 +6x^-1/2
11. 42x^-8 +2x^-1/2
12. -5x^-6 -8x^-9
13. (1/2)x^-1/2 -3x^-4
19. (x^2+8x-4)(-4x^-3-4x^-5) + [(2x^-2)+(x^-4)](2x+8)
21. 3x^2+6x+3
22. (1/2)x^-1/2 +(1/3)x^-2/3 +(2/3)x^-1/3
23. 6x^2+6x-14
24. x^1/2[(1/3)x^-2/3 +(1/5)x^-4/5) +(x^1/3 +x^1/5)(1/2x^-1/2)