The function `f(x)=cot^(-1)x+x` increases in the interval (a) `(1,\ oo)` (b) `(-1,\ oo)` (c) `(-oo,\ oo)` (d) `(0,\ oo)`

If the function f(x)=2x^(2)-kx+5 is increasing on [1,2], then k lies in the interval (a) (-oo,4)(b)(4,oo)(c)(-oo,8)(d)(8,oo)

The function sin x-bx+c will be increasing in the interval (-oo,oo) ,if

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

The set of points where the function f(x)=x|x| is differentiable is (a) (-oo,\ oo) (b) (-oo,\ 0)uu(0,\ oo) (c) (0,\ oo) (d) [0,\ oo]

The function f(x)=(1)/(1+x^(2)) is decreasing in the interval (i)(-oo,-1)(ii)(-oo,0)(iii)(1,oo)(iv)(0,oo)

If the function f(x)=x^2-k x+5 is increasing on [2,\ 4] , then (a) k in (2,\ oo) (b) k in (-oo,\ 2) (c) k in (4,\ oo) (d) k in (-oo,\ 4)

Let f(x) = cos x - (1 - (x^(2))/(2)) then f(x) is increasing in the interval a) (-oo, 1] b) [0, oo) c) (-oo, -1] d) (-oo, oo)

The function f(x)=x^9+3x^7+64 is increasing on (a) R (b) (-oo,\ 0) (c) (0,\ oo) (d) R_0

The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a) (0,\ oo) (b) (-oo,\ 0) (c) (1,\ oo) (d) (-oo,\ 1)

The interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing is (a) ( -oo , oo ) (b) ( -oo , 0 ) (c) ( 2 , oo ) (d) ( 0 , 2 )