The function f(x)= ^ -1 ( x+ x) is a/an :

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The function \(f(x)=\tan ^{-1}(\sin x+\cos x)\) is a/an : 
  1. decreasing function on\((0, \pi / 2)\)
  2. increasing function on \((0, \pi / 4)\)
  3. neither increasing nor decreasing
  4. None of these

Answer

(A) decreasing function on (0, / 2)

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