For each function: a. Make a sign diagram for the first derivative. b. Make a sign diagram for the second derivative. c. Sketch the graph by hand, showing all relative extreme points and inflection points. 19. f(x) =x(x-3)^2 20. f(x) =x^3(x-4) 21.f(x)= x^3/5 22. f(x)=x^1/5 23.f(x)= (^5x^4)+2 24.f(x) = (^5x^2)-1 25. f(x) = ^4x^3 26. f(x)=x^5 27.f(x)=(^3(x-1)^2) 28. f(x) = (^5x+2)+3 29. f(x) = x/(x^2-1) 30. f(x)= 54(x^2-1)/x^2+27