Find the interval in which the given function f(x)=sin3x,x in[0,(pi)/(2)] is (i) increasing (ii) decreasing...

Find the intervals in which the function given by f(x)=sin3x, x in [0, (pi)/(2)] is : (a) increasing (b) decreasing.

Find the intervals in which the function f(x) = 2x^(3)-15x^(2)+36x + 6 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 the function f(x)=2x^(3)+9x^(2)+12x+20 is (i) increasing (ii) 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 the function f(x) = sin x +cos x,x in [0, 2pi] is (i) strictly increasing, (ii) strictly decreasing.

Find the intervals on which the function f(x) = x^(3) + 3x^(2) - 105x + 25 is (a) increasing (b) decreasing

Find the intervals on which the function f(x) = 2x^(3) - 15x^(2) + 36x + 6 is (a) increasing (b) 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.