Mathematics Differential Calculus Applications of Derivatives

Let f(x) = tan-1 {ϕ(x)}, where ϕ(x) is monotonically increasing function for 0 < x < π/2. Then f(x) is?

1
Increasing in (0, π/2)
2
Decreasing in (0, π/2)
3
Increasing in (0, π/4) and decreasing in (π/2)  
4
None of these

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