Find the intervals in which `f (x) = 2 log (x - 2) - x^2 + 4x +1` is increasing or decreasing.

Find the intervals in which f(x)=2log(x-2)-x^(2)+4x+1 is increasing or decreasing.

Find the interval in which the function f(x) =2 log (x-2) -x^(2)+4x +1 is increasing .

Find the intervals in which the function f(x)=log(1+x)-(2x)/(2+x) is increasing or decreasing.

Find the intervals in which the function f(x)=log(1+x)-(2x)/(2+x) is increasing or decreasing.

Find the intervals in which the function f(X) = (x-1)^3(x-2)^2 is increasing or decreasing.

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 f(x)=2x^3-12 x^2+18 x+15 is increasing or decreasing.

Find the intervals in which the f(x)=log(1+x)-(x)/(1+x) is (i) increasing (ii) decreasing

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