Separate the intervals of monotonocity for the function `f(x)=sinx+cosx ,x in (0,2pi)`

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

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

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

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

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

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

Find the interval of monotonocity of the function f(x)=(|x-1|)/(x^(2))

For the function f(x)=sinx+2cosx,AA"x"in[0,2pi] we obtain

Separate the intervals of concavity of the following functions (i) f(x)= sin^(-1)x ,(ii) f(x)=x+sinx