Mark the correct alternative in the following:

The function f(x) = cos–1 x + x increases in the interval.


Formula:- The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a,b) is that f’(x)>0 for all x(a,b)


Given:-


f(x) = cos–1 x + x



Now


f(x)>0



xR


x(–∞, ∞)

1