Find the intervals in which `f(x)=s in\ x(1+cosx),\ \ 0

Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt 2pi is increasing or decreasing.

Find the intervals in which f(x)=sinx-cosx , where 0ltxlt2pi , is strictly increasing or decreasing.

Write the interval in which f(x)=sinx+cosx ,\ \ x in [0,\ pi//2] is increasing.

Find the intervals in which f(x)=log(cosx), 0 le x le 2pi is increasing.

Find the open interval in which f(x)= x^(1/x), x > 0 is decreasing.

Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is strictly increasing or strictly decreasing.

f(x)=cos((pi)/(x)), x ne 0 , find the interval in which f(x) in increasing.

Find the interval in which f(x) is positive or negative : f(x) = (x-1)(x-2)(x-3)

Find the interval in which f(x) is positive or negative : f(x) = (x-1)(x-2)(x-3)

Find the interval in which f(x) is positive or negative : f(x) = (x-1)(x-2)(x-3)