" 12.Test whether the following function "f(x)=2-3x+3x^(2)-x^(3)" ,ne "R" is increasing or decreasing "

Test whether the following function f(x)=2-3x+3x^(2)-x^(3), x in R is increasing or decreasing.

Test whether the function f(x)= x^(3) + 6x^(2) + 12x-5 is increasing or decreasing for all x in R .

The interval on which the function f(x)=2x^(2)-3x is increasing or decreasing in :

Determine the intervals in which the following functions f(x) = 7 + 12x - 3x^2 - 2x^3 are strictly increasing or strictly decreasing.

Test weather the function f(x)= x^3 + 6 x^2 +12x-5 is increasing or decreasing for all x in R.