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

Question

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

Philoid · Accepted Answer

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

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

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