Teaching DSSSB TGT Mock Test 2025 Mathematics Differential Calculus Applications of Derivatives

Let the function g : (- ∞, ∞) → (-π/2, π/2) be given by g(x) = 2tan-1(ex) - π/2. Then g is

1
even and increasing in (0, ∞)
2
even and decreasing in ( - ∞, ∞)
3
odd and increasing in ( - ∞, ∞)
4
neither even nor odd
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