" (c) "f(x)-2x^(3)-9x^(2)-12x+1

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)

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

Separate the intervals of monotonocity for the function f(x)=-2x^(3)-9x^(2)-12x+1

Find the intervals in which f(x)=-2x^(3)-9x^(2)-12x+1 is increasing or decreasing.

Find the intervals in which the function f, given by f(x)=-2x^(3)-9x^(2)-12x+1 is strictly increasing and strictly decreasing.

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