Find the interval in which f(x) is positive or negative : f(x) = (x-1)(x-2)(x-3)

Let f(x)=((x-3)(x+2)(x+5))/((x+1)(x-7)) . Find the intervals were f(x) is positive or negative .

Let f(x)=((x-3)(x+2)(x+6))/((x+1)(x-5)) Find intervals where f(x) is positive or negative

Find the intervals in which f(x)=(x-1)^3(x-2)^2 is decreasing

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

FInd the the intervals in which f(x) is increasing or decreasing: f(x)=x|x|,x in R

Find the intervals in which the function f given by f(x)=x^(3)+(1)/(x^(3)),x!=0 is (i) increasing (ii) decreasing.

Find the intervals in which the function f given by f(x)=x^(3)+(1)/(x^(3)),x!=0 is (i) increasing (ii) decreasing.

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

Find the intervals on which the function f(x) = (x + 1)^(3) (x -3)^(3) is (a) increasing (b) decreasing

Find the intervals in which the function f given by f (x) = x^(2) – 4x + 6 is strictly increasing: