Separate the intervals of monotonocity for the function `f(x)=3cos^4x+10cos^3x+6cos^2x-3,x in [0,pi]`

Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)

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

Separate the intervals of monotonocity of the function: f(x)=3x^4-8x^3-6x^2+24 x+7

Separate the intervals of monotonocity of the function: f(x)=-sin^3x+3sin^2x+5,x in [-pi/2,pi/2]dot

Separate the intervals of monotonocity for the function f(x)=((log)_e x)^2+((log)_e x)

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 monotonocity of the following function: (i) f(x)=3x^(4)-8x^(3)-6x^(2)+24x+7 (ii) F(x) =-sin^(3)x+3sin^(2)x+5,x "in" (-pi//2,pi//2) (iii) f(x)=(2^(x)-1)(2^(x)-2)^(2)

Find the intervals of decrease and increase for the function f(x)=cos(pi/x)

Find the range of the function f(x)=4cos^(3)x-8cos(2)x+1 .

The interval in which f(x)=3cos^(4)x+10cos^(3)x+6cos^(2)x-3 increases or decreases in (0,pi)