Determine the intervals in which `f(x)=2/((x-1))+18x,AAx in R-{0}` is stricly increasing and decreasing.

Let f(x)=sinx-cosx be defined on [0,2pi] . Determine the intervals in which f(x) is strictly decreasing and strictly increasing.

The interval in which f(x) =2x^2- log x increasing

Find the intervals in which the function f(x) = x^(3) - 3x^(2) + 4 is strictly increasing for all x in R

Find the intervals in which f(x) = 2x^(3) - 9x^(2) - 12 x -3 is increasing and the intervals in which f(x) is decreasing.

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing