-1bar(3)_(0)f(x)=2x^(3)-9x^(2)+12x+5

f(x)=2x^(3)-9x^(2)+x+12,g(x)=3-2x

Sketch the graph of the following functions y=f(x) and find the number of real roots of the corresponding equation f(x)=0 . (i) f(x)=2x^(3)-9x^(2)+12x-(9//2) " " (ii) f(x)=2x^(3)-9x^(2)+12x-3

Sketch the graph of the following functions y=f(x) and find the number of real roots of the corresponding equation f(x)=0 . (i) f(x)=2x^(3)-9x^(2)+12x-(9//2) " " (ii) f(x)=2x^(3)-9x^(2)+12x-3

Sketch the graph of the following functions y=f(x) and find the number of real roots of the corresponding equation f(x)=0 . (i) f(x)=2x^(3)-9x^(2)+12x-(9//2) " " (ii) f(x)=2x^(3)-9x^(2)+12x-3

Separate the intervals of monotonocity for the following function: (a) f(x) =-2x^(3)-9x^(2)-12x+1 (b) f(x)=x^(2)e^(-x) (c ) f(x) =sinx+cosx,x in (0,2pi) (d) f(x) =3cos^(4)x+cosx,x in (0,2 pi) (e ) f(x)=(log_(e)x)^(2)+(log_(e)x)

Separate the intervals of monotonicity for the following functions. f(x) = -2x^(3) - 9x^(2) - 12x + 1

Find the values of x such that f(x)=2x^(3)-9x^(2)+12x+2 is a decreasing function.