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

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

Find the intervals in which the function f given by f(x) = 2x^(3) - 3x^(2) - 36x + 7 is (a) strictly increasing (b) strictly decreasing?

Find the intervals in which the functions f given by f(x) = 4x^(3) - 6x^(2) - 72x + 30 is (a) strictly increasing (b) strictly decreasing.

Find the intervals in which the function f given by f(x) = (4sin x-2x-xcos x )/(2+cosx) is (i) increasing (ii) decreasing.

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

Find the intervals in which the function f given by f(x) = 2x^(3) – 3x^(2) – 36x + 7 is (a) increasing (b) decreasing

Find the intervals in which the function f given by f(x) = x^(2) - 4x + 6 is (a) strictly increasing (b) strictly decreasing.

Find the intervals in which the function f given by f(x)=2x^(3)-3x^(2)-36x+7 is increasing.