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) =x^(3) +(1)/(x^(3)) , xne 0 is (i) increasing (ii) decreasing .

Find intervals in which the function given by f (x) = sin 3x , x in [0,(pi)/(2)] is (a) increasing (b) decreasing.

Find the intervals in which the function f given by f(x) =sin x +cos x , lt=x lt=2pi is increasing or decreasing.

Find the intervals in which the function f given by f (x) = 4x^(3) – 6x^(2) – 72x + 30 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) increasing (b) decreasing

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

Find the derivative of the function given by f(x)= sin (x^2) .

Find intervals in which the function given by f(x) =(3)/(10)x^(4)-(4)/(5)x^(3)-3x^(2)+(36)/(5)x+11 is (a) increasing (b) decreasing.

Find the points at which the function f given by f (x) = (x-2)^(4)(x+1)^(3) has (i) local maxima (ii) local minima (iii) point of inflexion