Q9 of 105 Page 17

Mark the correct alternative in the following:

Let f(x) = tan–1 (g(x)), where g(x) is monotonically increasing for Then, f(x) is


Formula:-


(i)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) = tan–1 (g(x))



For increasing function


f’(x)>0


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