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

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

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

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

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

Separate the intervals of monotonicity for the following functions. f(x) = (log_(e)x)^(2) + (log_(e)x)

Find the domain and the range of the functions f(x) = 1/(2x-1)

Find the derivative of the function f(x) = 2x^2 + 3x + 5 at x = 1

Find the intervals in which the function f(x)= 2x^3-15x^2+36x+1 is increasing

Find the intervals in which the function f given by f(x) = (4 sin x - 2x - x cos x)/(2 + cos x) is (i) increasing (ii) decreasing, x in (0, 2pi)