Please show all work in a neat handwriting or type it.

1.

just do 8, 14, 20

In Exercises 1-22, find the open interval(s) on which the function is increasing or decreasing. x9 -X= ( x )f I 2. f(x) =x+8x+10 3. f(x) =-2x2+4x+3 4. f (x ) = - (x +8x+12) 5. f(x) =2x3+3x2-12x 6. f(x)=x'-6x2 +15 7. f(x) = x (3-x) 8. f (x) = (x+2)"(x-1) 9. f(x) = X -5x 10. f(x)=x4-32x+4 5 11. f(x) =x3+1 12. f(x) =x3 -4 13. f (x ) = (x-1)3 14. f (x) = (x-2)3 15. f(x) = 5-1x-51 16. f(x) = |x+3/-1 17. f ( x ) = x+- 18. f (x) = - X x x+1 19. f( x) = 20. f(x) = *+3 x - 9 21. f(x)=* -2x+1 22. f(x) = X - 3x-4 x+1 x-2In Exercises 23-30, consider the function on the interval (0, 27), find the open interval(s) on which the function is increasing or decreasing. X 24. f(x) = sin xcosx 23. f( x) = +cos x 25. f(x) = sinx + cos x 26. f(x)=x+2sinx 27. f(x) = cos (2x) 28. f(x) = 3 sin x + cos x sin x 29. f(x) = sin 'x + sin x 30. f (x) = 1+ cos xIn Exercises 1-22, (a) find the critical numbers of f (if any), (b) find all the extreme values (if any) (c) apply the First Derivative Test to identify all relative extrema (if any). 1. f(x) =x+3x-2 2. f (x ) = x+- x 3. f(x) = x(1-x) 1+ x 4. f ( x ) = = 1 - x 5. f (x ) =- 2 x(x+ 1 ) 6. f(x) =x'(1-x)2 7. f(x) = (1-2x)(x-1)3 8. f ( x) =x 1+ x 9. f (x ) = x23/2+x 10. f(x) =x-31+|2x+11 1 1. f ( x ) = x3 + 2x 3 12. f (x) = (x-1)3 x+9 -85x