Find the intervals in which `f(x) = sin 3x – Cos 3x, 0 < x < pi`, is strictly increasing or decreasing.

Find the intervals in which f(x) = sin 3x, x in [0,pi/2] is (i) increasing, (ii) decreasing.

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

Find the intervals in which f(x) =x^(3)-2x^(3) -4x +7 is increasing

Find the intervals in which f(x)=5+36 x+3x^2-2x^3 is increasing or decreasing.

Find the intervals in which f(x)=8+36 x+3x^2-2x^3 is increasing or decreasing.

Find the intervals in which f(x)=6+12 x+3x^2-2x^3 is increasing or decreasing.

Separate the intervals [0, (pi)/(2)] into sub intervals in which f(x)= sin^(4)x + cos^(4)x is increasing or decreasing.

Find the intervals in which f(x)=3x^4-4x^3-12 x^2+5 is increasing or decreasing.