. Discuss the monotonicity of the following functions `(1/2)^x`

Separate the intervals of monotonicity of the following functions : f(x) = (2^(x) - 1)(2^(x) - 2)^(2)

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

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

Determine the intervals of monotonicity for the following functions : f(x) = ln |x|,

Determine the intervals of monotonicity for the following functions : f(x) = 2x^(3) -9x^(2) -24x +7 ,

Determine the intervals of monotonicity for the following functions : f(x) =4x^(3)-21x^(2)+18 x +20 ,

Separate the intervals of monotonicity for the following functions. f(x) = sin x + cos x, x in (0, 2pi)

Determine the intervals of monotonicity for the following functions : f(x) =x^(2)e^(-x)